Effect Of Quantum Corrections Research Articles

Images and stability of black hole with cloud of strings and quintessence in EGUP framework

We consider black holes with quintessence matter and cloud of strings to study shadow, optical appearance and stability by using the extended generalized uncertainty principle. We first evaluate the relations for modified Hawking temperature, heat capacity, equation of state and remnant mass for the considered model and then plot these relations in order to analyze the quantum correction effects on the stability of the black holes. In the visual plot of specific heat, we observe critical regions where the black hole transitions from being thermodynamically stable to unstable and vice versa. Moreover, we also observe that the regions of stability and instability are not uniform across, suggesting that extended generalized uncertainty principle plays a vital role in thermodynamic properties. We also investigate the silhouette and optical properties of the Lovelock black hole, particularly analyzing illumination with two theoretical models of static accretion. We observe that different values of Lovelock coupling constants significantly influence the size of image and intensities of the black hole.

Influence of quantum correction on the Schwarzschild black hole polarized image

Using a model of an accretion disk around a Schwarzschild black hole, the analytic estimates for image polarization were derived by Narayan et al. (Astrophys J 102:912, 2021). Recently, the EHT team also obtained polarization images of the Sgr A∗\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$$^{*}$$\\end{document} and measured both linear and circular polarization (Astrophys J Lett 964:L25, 2024). We find that quantum correction effects can also influence polarization information. Considering the quantum corrected Schwarzschild black hole (Kazakov–Solodukhin black hole), we derive the polarization intensity of the target black hole and investigate polarization images under different parameters. It is found that a larger quantum deformation leads to an expansion of the polarization region, while the polarization intensity value decrease. Under different observation angles, magnetic fields, fluid direction angles, and fluid velocity conditions, we also derive polarization images of corrected black holes. These key indicators not only affect the intensity of polarization but also the direction of polarization. We establish the relationship between polarization intensity and quantum correction deformation parameters, revealing a gradual decline in polarization intensity with reduced radius and an anti-polarization behavior induced by the progressive increase in deformation parameters at a constant radius. Our analysis may provide observational evidence for quantum effect of general relativity.

Observational signatures of rotating black holes in the semiclassical gravity with trace anomaly* *Partly Supported by the National Natural Science Foundation of China (12275004, 12205013, 11873044). MG is also endorsed by ”the Fundamental Research Funds for the Central Universities” (2021NTST13)

In a recent work by Fernandes [Phys. Rev. D 108(6), L061502 (2023)], an exact stationary and axisymmetric solution was discovered in semiclassical gravity with type-A trace anomaly. This was identified as a quantum-corrected version of the Kerr black hole. In this study, we explore the observational signatures of this black hole solution. Our investigation reveals that prograde and retrograde light rings exist, whose radii increase monotonically with the coupling parameter α. When α is negative, the shadow area for the quantum-corrected black hole is smaller than that of the Kerr black hole, whereas when α is positive, the area is larger. For a near-extremal black hole, its high-spin feature (the NHEKline) is found to be highly susceptible to disruption by α. Furthermore, we discuss the images of the quantum-corrected black hole in the presence of a thin accretion disk and compare them to those of the Kerr black hole. Our study highlights the importance of near-horizon emission sources in detecting the effects of quantum corrections by black hole images.

Impact of charged and quantum-correction on the dynamics of scalar shell surrounded by Kiselev black hole

The objective of this study is to investigate the geometric configurations of a thin-shell in the framework of quantum-corrected charged Kiselev black holes. In order to do this, a cut and paste technique is employed to align the inner Minkowski spacetime with the black hole solutions under consideration. Our research explores the effects of quantum-correction on the stability of thin-shell using linearized radial perturbation method incorporating the phantomlike equation of state such as quintessence. This approach allows for the identification of stable configurations of the thin-shell situated beyond the expected location of the event horizon in the exterior manifold. Moreover, it is evident that the stability of the thin-shell is significantly dependent on the parameters associated with the black hole solutions. In this study, we investigate the dynamics of the thin-shell configuration using Klein–Gordon’s equation of motion, including both massive and massless scalar fields. The results of our study suggest that the presence of the scalar field has a significant impact on the behavior of the thin-shell, resulting in notable phenomena such as expansion and collapse. The aforementioned results provide valuable insights into the behavior of black hole solutions by examining the dynamics of thin-shells in relation to quantum-correction parameters involving scalar fields. In summary, it is observed that the presence of a quantum-correction parameter has the effect of reducing the stable configuration of a Kiselev black holes.

Effect of Quantum Corrections for the Increase in the Gas Density on the Vibrational Relaxation Time

Effect of Quantum Corrections for the Increase in the Gas Density on the Vibrational Relaxation Time

Magnetosonic waves propagation in a magnetorotating quantum plasma.

Employing the quantum magnetohydrodynamic (QMHD) model, the basic properties of magnetosonic waves were investigated in a magnetorotating quantum plasma. The contemplated system considered a combined effects of quantum tunneling and degeneracy forces, dissipation influence, spin magnetization, in addition to the Coriolis force. Fast and slow magnetosonic modes were obtained and examined in the linear regime. Their frequencies are significantly modified due to the rotating parameters (frequency and angle) in addition to quantum correction effects. The nonlinear Korteweg-de Vries-Burger equationwas derived using the reductive perturbation approach in a small amplitude limit. The aspects of magnetosonic shock profiles were explored analytically by applying the Bernoulli equationapproach and numerically using the Runge-Kutta method. The regarded plasma parameters due to the investigated effects were found to play major roles in specifying the nature of monotonic and oscillatory shock waves' structures and their features. Our results may be applicable in magnetorotating quantum plasma in astrophysical environments such as neutron stars and white dwarfs.

Anomalous diffusion in QCD matter

We study the effects of quantum corrections on transverse momentum broadening of a fast parton passing through dense QCD matter. We show that, at leading logarithmic accuracy the broadening distribution tends at late times or equivalently for large system sizes $L$ to a universal distribution that only depends on a single scaling variable $k^2_\perp/Q^2_s$ where the typical transverse momentum scale increases with time as $\ln Q_s^2 \simeq (1+2 \beta ) \ln L - \frac{3}{2}(1+\beta )\,\ln\ln L$ up to non-universal terms, with an anomalous dimension $\beta \sim \sqrt{\alpha_s} $. This property is analogous to geometric scaling of gluon distributions in the saturation regime and traveling waves solutions to reaction-diffusion processes. We note that since $\beta >0$ the process is super-diffusive, which is also reflected at large transverse momentum where the scaling distribution exhibits a heavy tail $k_\perp^{4-2\beta }$ akin to L\'{e}vy random walks.

Quantum corrections enhance chaos: Study of particle motion near a generalized Schwarzschild black hole

The paper is devoted to a detailed study of the effects of quantum corrections on the chaotic behaviour in the dynamics of a (massless) probe particle near the horizon of a generalized Schwarzschild black hole. Two possible origins inducing the modification of black hole metric are considered separately; the noncommutative geometry inspired metric (suggested by Nicolini, Smailagic and Spallucci) and the metric with quantum field theoretic corrections (derived by Donoghue). Our results clearly show that in both cases, the metric extensions favour chaotic behaviour, namely chaos is attained for relatively lower particle energy. This is demonstrated numerically by exhibiting the breaking of the KAM tori in Poincaré sections of particle trajectories and also via explicit computation of the (positive) Lyapunov exponents of the trajectories.

First-order quantum correction in coherent state expectation value of loop-quantum-gravity Hamiltonian

Given the non-graph-changing Hamiltonian $\widehat{H[N]}$ in Loop Quantum Gravity (LQG), $\langle\widehat{H[N]}\rangle$, the coherent state expectation value of $\widehat{H[N]}$, admits an semiclassical expansion in $\ell^2_{\rm p}$. In this paper, as presenting the detailed derivations of our previous work arXiv:2012.14242, we explicitly compute the expansion of $\langle\widehat{H[N]}\rangle$ to the linear order in $\ell^2_{\rm p}$ on the cubic graph with respect to the coherent state peaked at the homogeneous and isotropic data of cosmology. In our computation, a powerful algorithm is developed, supported by rigorous proofs and several theorems, to overcome the complexity in the computation of $\langle \widehat{H[N]} \rangle$. Particularly, some key innovations in our algorithm substantially reduce the complexity in computing the Lorentzian part of $\langle\widehat{H[N]}\rangle$. Additionally, some quantum correction effects resulting from $\langle\widehat{H[N]}\rangle$ in cosmology are discussed at the end of this paper.

On the Periodic Solutions for the Perturbed Spatial Quantized Hill Problem

In this work, we investigated the differences and similarities among some perturbation approaches, such as the classical perturbation theory, Poincaré–Lindstedt technique, multiple scales method, the KB averaging method, and averaging theory. The necessary conditions to construct the periodic solutions for the spatial quantized Hill problem—in this context, the periodic solutions emerging from the equilibrium points for the spatial Hill problem—were evaluated by using the averaging theory, under the perturbation effect of quantum corrections. This model can be used to develop a Lunar theory and the families of periodic orbits in the frame work for the spatial quantized Hill problem. Thereby, these applications serve to reinforce the obtained results on these periodic solutions and gain its own significance.

Magnetosonic waves in ion trapped semiconductor chip plasma with effect of exchange correlation potential and relativistic degeneracy

The generalized dispersion relation for the propagation of magnetohydrodynamic (MHD) waves in Cd+ ion trapped semiconductor electron-hole-ion plasmas is studied with effect of quantum corrections. The important ingredients of these corrections occurred due to Bohm potential, relativistic degeneracy, exchange-correlation potential and spin magnetization and have significant impact on the dispersion properties of perpendicular and oblique modes of MHD wave. The derived results are numerically analyzed by using the numerical parameters of GaAs, GaSb, GaN, and InP semiconductors plasmas. From the numerical analysis it is observed that for higher number density, the phase speed of magnetosonic wave is larger for the InP semiconductor, while for low number density plasma region, it gives lower values for GaAs semiconductor. Similarly the phase speed of magnetosonic wave for GaAs decreases with applied magnetic field for different regime of number density. Due to exchange-correlation potential it is found that the frequencies of magnetosonic waves are blue-shifted means that it has magnified the phase speed. It is also shown that frequency of oblique MHD wave for GaAs semiconductor plasmas increases (decreases) with number density of electrons (holes). The relativistic degeneracy term (γ) for given number density is numerically calculated (1.00011 ∼ 1.0058) for all the above-mentioned semiconductors and it is observed that due to its mild numerical value it has not significant impact on graphical manipulation. The Alfven speed for above compound semiconductors with B 0 ≤ 104 G is also calculated which are in the permissible range of order 104 cm/s to 107 cm/s. The results are helpful to understand the energy transport in semiconductor plasma in the presence of magnetic field.

Remarks on the Effects of Quantum Corrections on Moduli Stabilization and de Sitter Vacua in Type IIB String Theory

AbstractThe role of string loop corrections on the existence of de Sitter vacua and the moduli stabilization problem is examined in type IIB effective theories. The fundamental building blocks are a minimum of three intersecting D7 brane stacks, three Kähler moduli, and a novel Einstein‐Hilbert term associated with higher derivative terms of the 10‐dimensional effective action. It was shown in previous works that loop corrections appear which induce novel logarithmic volume‐dependent terms in the effective potential. When D‐term contributions are considered, all Kähler moduli are stabilized and de Sitter vacua are achieved. In the present work, a comprehensive study of multiple non‐perturbative terms in the superpotential is undertaken. The combined effects of the logarithmic loop corrections and two non‐perturbative superpotential Kaehler moduli dependent terms have been investigated. It is shown that a variety of fluxes exist for large as well as moderate volume compactifications which define a de Sitter space and stabilize the moduli fields. For large volumes, a generic simple form of the potential is achieved. The so obtained effective potential appears to be promising for cosmological applications.

Quantum corrected thermodynamics of nonlinearly charged BTZ black holes in massive gravity’s rainbow

In this paper, we consider three-dimensional massive gravity’s rainbow and obtain black hole solutions in three different cases of Born–Infeld, logarithmic, and exponential theories of nonlinear electrodynamics. We discuss the horizon structure and geometrical properties. Then, we study thermodynamics of these models by considering the first-order quantum correction effects, which appear as a logarithmic term in the black hole entropy. We discuss such effects on the black hole stability and phase transitions. We find that due to the quantum corrections, the second-order phase transition happens in Born–Infeld and logarithmic models. We obtain the modified first law of black hole thermodynamics in the presence of logarithmic corrections.

A Quantized Hill’s Dynamical System

In this paper, we present a modified version of Hill’s dynamical system that is called the quantized Hill’s three-body problem in the sense that the equations of motion for the classical Hill’s problem are now derived under the effects of quantum corrections. To do so, the position variables and the parameters that correspond to the quantum corrections of the respective quantized three-body problem are scaled appropriately, and then by taking the limit when the parameter of mass ratio tends to zero, we obtain the relevant equations of motion for the spatial quantized Hill’s problem. Furthermore, the Hamiltonian formula and related equations of motion are also derived.

Effect of quantum correction of electron–ion collision frequency on ion temperature and expansion energy in laser-driven fusion

The nonlinear heat conduction equation can be solved by quantum modified heat transfer coefficient in deuterium–tritium (DT) plasma driven by laser above the critical electron temperature. As a result, the electron profile temperature and the heat flux solutions are improved. In this paper, we have studied the subsequent modification of ion temperature due to ion heating by energy transfer between electrons and ions through electron–ion collisions. The differential equation between Te and Ti, expansion energy of plasma as well as the threshold energy of the laser beam for plasma ignition are renewed by considering quantum modification in electron–ion collision frequency. The achieved results improve the values of the ion temperature and the threshold energy for plasma ignition compared with the values obtained from the calculations using the classical electron–ion collision frequency.

Magnetogenesis by non-minimal coupling to gravity in Higgs inflation model

We study the generation of magnetic fields in the Higgs inflation model with the kinetic coupling in order to break the conformal invariance of the Maxwell action and produce strong magnetic fields. We consider radiatively corrected Higgs inflation potential. We assume that parity persevering non-minimal coupling between curvature and electromagnetic field is present in the action. In comparison to the Starobinsky potential, we obtain an extra term as a one loop correction and determine the spectrum of generalized electromagnetic fields. In this case it is impossible to produce large magnetic fields. Even for various values of coupling parameter k1 it is obvious that the amplification of magnetic field is negligibly small. The reason is the nature of kinetic coupling and allowed values of inflationary anomalous scaling AI. However, the effect of quantum correction in this case does not produce new dynamic for magnetogenesis but one may expect with axial coupling new dynamic can be produced by effect of quantum correction.

Quantum corrections in 4d N = 1 infinite distance limits and the weak gravity conjecture

We study quantum corrections in four-dimensional theories with N = 1 supersymmetry in the context of Quantum Gravity Conjectures. According to the Emergent String Conjecture, infinite distance limits in quantum gravity either lead to decompactification of the theory or result in a weakly coupled string theory. We verify this conjecture in the framework of N = 1 supersymmetric F-theory compactifications to four dimensions including perturbative α′ as well as non-perturbative corrections. After proving uniqueness of the emergent critical string at the classical level, we show that quantum corrections obstruct precisely those limits in which the scale of the emergent critical string would lie parametrically below the Kaluza-Klein scale. Limits in which the tension of the asymptotically tensionless string sits at the Kaluza-Klein scale, by contrast, are not obstructed.In the second part of the paper we study the effect of quantum corrections for the Weak Gravity Conjecture away from the strict weak coupling limit. We propose that gauge threshold corrections and mass renormalisation effects modify the super-extremality bound in four dimensions. For the infinite distance limits in F-theory the classical super-extremality bound is generically satisfied by a sublattice of states in the tower of excitations of an emergent heterotic string. By matching the F-theory α′-corrections to gauge threshold corrections of the dual heterotic theory we predict how the masses of this tower must be renormalised in order for the Weak Gravity Conjecture to hold at the quantum level.

Ro‐vibrational energy and thermodynamic properties of molecules subjected to Deng–Fan potential through an improved approximation

AbstractAccurate solution of the Schrödinger equation with Deng–Fan potential is presented by means of Nikiforov–Uvarov method. A modified Pekeris‐type approximation is proposed for the centrifugal term, from a linear combination of the r → 0 and r → re limits. It can potentially offer a series of approximations (depending on an adjustable parameter λ). The existing approximations in the literature can then be recovered in certain special cases. Its efficiency and feasibility is demonstrated by a critical comparison of eigenvalues produced at various λ's for four molecules, namely, H2, LiH, HCl and CO. Analytical expressions are derived for energies, eigenfunctions and the thermodynamic properties such as vibrational mean free energy, vibrational free energy, vibrational entropy and vibrational specific heat. The effect of quantum correction on partition function and thermodynamic properties is discussed by including the correction up to 10th‐order, for H2 and LiH. The effect of λ parameter on these properties is also studied.

The effect of quantum correction for the dielectric function on the optical properties of a plasmon–exciton–plasmon hybrid system

In this paper, the optical properties of two small silver metallic nanoparticles (sAgNPs) coupled to a quantum dot (QD) are studied. The interaction between sAgNP and QD is investigated theoretically using the compact density matrix method. In this paper, due to the small size of the AgNP, the dielectric function does not follow the classical models and quantum-size effects must be considered. The excitation of surface plasmons in sAgNP is observed using the finite element method. The main result of the current study shows that when AgNPs are small, the absorption spectrum profile of the QD is strongly affected due to the plasmon–exciton–plasmon interaction. The absorption spectrum profile of the QD shows an electromagnetically induced transparency with two peaks and a minimum in the transition frequency. Then, the near-field enhancement of the sAgNP, the field experienced by the QD, the exciton transition energy shift, and the Forster-enhanced broadening of the excitonic transition are also examined.

Effects of quantum corrections on the modulational instability of Bose–Einstein condensates trapped in a periodic optical lattice

Through a semiquantal procedure, we study the perturbed modulation of amplitude and phase of Gross-Piteavskii equation describing trapped Bose–Einstein condensates in an optical lattice potential. By introducing quantum correctional parameters, the problem is quantized and leads to the derivation of a novel dynamical instability criterion. Additional degrees of freedom carrying quantum properties play a central role on the refine of the instability bandwidth, and, combined to the strength of optical lattice potential, entail unstable modes into full stability. A set of computational tools exhibited various features that bear instability characteristics, to confirm analytically predicted results. The quantum fluctuations thus have a stabilizing effect on the dynamics of harmonically trapped Bose–Einstein condensates in an optical lattice potential.