Kalb-Ramond Tensor Research Articles

Thermal chemistry of Anti-de-Sitter black holes in Kalb-Ramond gravity

In this paper, we investigate the thermodynamic properties and emission energy of Anti-de-Sitter (AdS) black holes within the framework of Kalb-Ramond gravity. By analyzing the modified Einstein equations with the inclusion of the antisymmetric Kalb-Ramond tensor field, we explore the changes in key thermodynamic quantities such as temperature, entropy, and specific heat, alongside the emission energy spectrum associated with Hawking radiation. The study reveals novel thermal behaviors and energy emission patterns compared to standard AdS black holes, particularly highlighting the influence of the Kalb-Ramond field on black hole stability and phase transitions. Furthermore, we examine the role of the Kalb-Ramond field in modifying the emission energy. Our findings provide deeper insights into black hole thermodynamics, the emission process, and the broader role of antisymmetric fields in gravitational physics. Different paths for test particles near black holes are determined by their distance from the innermost stable circular orbit, which plays a crucial role in this study. The unique behavior of particles impacted by mass and rotational momentum is highlighted by the fact that particles within the innermost stable circular orbits tend to converge toward the singularity, but particles outside tend to diverge toward infinity.

Leptogenesis in CPT violating backgrounds

In a temperature dependent CPT-Violating (CPTV) axial time-like background (induced by the Kalb-Ramond tensor field of string theory) we discuss leptogenesis by solving the Boltzmann equation. The current work non-trivially modifies the framework of a previous phenomenological approach (where the author was involved) where the CPTV axial background was considered to be a constant. The constant background approximation is shown to capture the main phenomenological features of leptogenesis.

Cornell potential in Kalb-Ramond scalar QED via Higgs mechanism

In this letter we derive the Cornell confining potential in a theory of interacting Abelian gauge vector and massive Kalb-Ramond tensor. The Kalb-Ramond mass is instrumental to obtain the linear confining behavior of the potential at large distances. The same model can be described via interaction with Higgs fields, alternatively, providing mass to the vector, or to the tensor fields. In the first case, the photon acquires mass, while the tensor remains massless. The resulting interaction potential is a screened Coulomb one. In the second case, the photon remains massless while Kalb-Ramond tensor acquires mass and the resulting potential is of the Cornell type with the mass parameter determining the slope of the linear part.

The role of temperature dependent string-inspired CPT violating backgrounds in leptogenesis and the chiral magnetic effect

In a temperature dependent CPT-Violating (CPTV) axial time-like background (induced by the Kalb-Ramond tensor field of string theory) we discuss leptogenesis by solving the Boltzmann equation.The current work non-trivially modifies the framework of a previous phenomenological approach by the authors where the CPTV axial background was considered to be a constant (with no microscopic justification). The constant background approximation though is shown to capture the main phenomenological features of leptogenesis. On comparing our analysis to the related chiral magnetic effect for axial current condensates, we conclude that the Kalb-Ramond field does not play the role of the chiral chemical potential needed for that effect.

A broad pseudovector glueball from holographic QCD

We study the decay of a pseudovector glueball with quantum numbers JPC=1+−, the lightest glueball with spin different from zero or two, in the top–down holographic Witten–Sakai–Sugimoto model. This glueball is dual to the string-theoretic Kalb–Ramond tensor field, which completely fixes all its couplings by gauge invariance and D-brane anomaly inflow. The dominant decay channels are determined by a Chern–Simons-like action for the flavor branes; couplings from the Dirac–Born–Infeld action turn out to be subdominant. While the resulting width is parametrically of order Nc−2λ−1 for Nc colors and 't Hooft coupling λ, when extrapolated to Nc=3 and with λ matched to experimental data, the prediction is that the pseudovector glueball is an extremely broad resonance.

Fractional-wrapped branes with rotation, linear motion and background fields

We obtain two boundary states corresponding to the two folds of a fractional-wrapped Dp-brane, i.e. the twisted version under the orbifold C2/Z2 and the untwisted version. The brane has rotation and linear motion, in the presence of the following background fields: the Kalb–Ramond tensor, a U(1) internal gauge potential and a tachyon field. The rotation and linear motion are inside the volume of the brane. The brane lives in the d-dimensional spacetime, with the orbifold-toroidal structure Tn×R1,d−n−5×C2/Z2 in the twisted sector. Using these boundary states we calculate the interaction amplitude of two parallel fractional Dp-branes with the foregoing setup. Various properties of this amplitude such as the long-range behavior will be analyzed.

SPACETIME SYMMETRY RESTORATION IN COSMOLOGICAL MODELS WITH KALB–RAMOND AND SCALAR FIELDS

We study symmetry of spacetime in the presence of a minimally coupled scalar field interacting with a Kalb–Ramond tensor fields in a homogeneous but initially anisotropic universe. The analysis is performed for the two relevant cases of a pure cosmological constant and a minimal quadratic, renormalizable, interaction term. In both cases, due to expansion, a complete spatial symmetry restoration is dynamically obtained.

Bulk Kalb-Ramond field in the Randall-Sundrum scenario

We have considered the most general gauge invariant five-dimensional action of a second rank antisymmetric Kalb-Ramond tensor gauge theory, including a topological term of the form ${ϵ}^{ABLMN}{B}_{AB}{H}_{LMN}$ in a Randall-Sundrum scenario. Such a tensor field ${B}_{AB}$ (whose rank-3 field strength tensor is ${H}_{LMN}$), which appears in the massless sector of a heterotic string theory, is assumed to coexist with the gravity in the bulk. The third rank field strength corresponding to the Kalb-Ramond field has a well-known geometric interpretation as the space-time torsion. The only nontrivial classical solutions corresponding to the effective four-dimensional action are found to be self-dual or anti-self-dual Kalb-Ramond fields. This ensures that the four-dimensional effective action on the brane is parity-conserving. The massive modes for both cases, lying in the TeV range, are related to the fundamental parameters of the theory. These modes can be within the kinematic reach of forthcoming TeV-scale experiments. However, the couplings of the massless as well as massive Kalb-Ramond modes with matter on the visible brane are found to be suppressed vis-a-vis that of the graviton by the warp factor, whence the conclusion is that both the massless and the massive torsion modes appear much weaker than curvature to an observer on the visible brane.

Universality class of confining strings

A recently proposed model of confining strings has a non-local world-sheet action induced by a space-time Kalb–Ramond tensor field. Here we show that, in the large- D approximation, an infinite set of ghost- and tachyon-free truncations of the derivative expansion of this action all lead to c=1 models. Their infrared limit describes smooth strings with world-sheets of Hausdorff dimension D H =2 and long-range orientational order, as expected for QCD strings.

Goldstone tensor modes

In the context of brane solutions of supergravity, we discuss a general method to introduce collective modes of any spin by exploiting a particular way of breaking symmetries. The method is applied to the D3, M2 and M5 branes and we derive explicit expressions for how the zero-modes enter the target space fields, verify normalisability in the transverse directions and derive the corresponding field equations on the brane. In particular, the method provides a clear understanding of scalar, spinor, and rank r tensorial Goldstone modes, chiral as well as non-chiral, and how they arise from the gravity, Rarita-Schwinger, and rank r+1 Kalb-Ramond tensor gauge fields, respectively. Some additional observations concerning the chiral tensor modes on the M5 brane are discussed.

Explicit bosonization of the massive Thirring model in3+1dimensions

We bosonize the Massive Thirring Model in 3+1D for small coupling constant and arbitrary mass. The bosonized action is explicitly obtained both in terms of a Kalb-Ramond tensor field as well as in terms of a dual vector field. An exact bosonization formula for the current is derived. The small and large mass limits of the bosonized theory are examined in both the direct and dual forms. We finally obtain the exact bosonization of the free fermion with an arbitrary mass.

Kalb-Ramond-invariant locally non-trivial [formula omitted] ( P/ CP-violating superconductivity in four dimensions)

We discuss spontaneously broken gauge invariance of the third kind (Kalb-Ramond tensor gauge field). The photon, carrying axion charge Q, spontaneously acquires a Higgs-free mass M=√2 Q. The contact with the London theory is established (exclusively in 3+1 dimensions) by means of a generalized, locally non-trivial, V- term . VQ ( Q) plays the Witten (Bogomolny) role of the electric (magnetic) charge, VQ 2/M 2 parametrizes P/ CP violation, and M 2=2(1+ V 2)Q 2 . The third-kind gauge invariant P/ CP-violating interaction of extended objects is briefly discussed.