Massive Yang-Mills Field Research Articles

Global dynamics of Yang–Mills field and perfect-fluid Robertson–Walker cosmologies

We apply a new global dynamical system formulation to flat Robertson–Walker cosmologies with a massless and massive Yang–Mills field and a perfect-fluid with linear equation of state as the matter sources. This allows us to give proofs concerning the global dynamics of the models including asymptotic source-dominance toward the past and future time directions. For the pure massless Yang–Mills field, we also contextualize well-known explicit solutions in a global (compact) state space picture.

Polysymplectic formulation for topologically massive Yang–Mills field theory

We analyze the De Donder–Weyl covariant field equations for the topologically massive Yang–Mills theory. These equations are obtained through the Poisson–Gerstenhaber bracket described within the polysymplectic framework. Even though the Lagrangian defining the system of our interest is singular, we show that by appropriately choosing the polymomenta one may obtain an equivalent regular Lagrangian, thus avoiding the standard analysis of constraints. Further, our simple treatment allows us to only consider the privileged [Formula: see text]-forms in order to obtain the correct field equations, in opposition to certain examples found in the literature.

Properties of effective massive Yang-Mills theory in the limit of vanishing vector boson mass

Two-loop corrections to the pole mass of the vector boson and the pole masses and the magnetic moments of fermions are calculated in the framework of an effective field theory of massive Yang-Mills fields interacting with fermions. It is shown that the limit of vanishing vector boson mass is finite for all these quantities. Implications of the obtained results are discussed.

Nonperturbative construction of massive Yang-Mills fields without the Higgs field

In order to understand the so-called decoupling solution for gluon and ghost propagators in QCD, we give a nonperturbative construction of a massive vector field describing a non-Abelian massive spin-one particle, which has the correct physical degrees of freedom and is invariant under a modified Becchi-Rouet-Stora-Tyutin transformation, in a massive Yang-Mills model without the Higgs field, i.e., the Curci-Ferrari model. The resulting non-Abelian massive vector boson field is written using a nonlinear but local transformation from the original fields in the Curci-Ferrari model. As an application, we write down a local mass term for the Yang-Mills field and a dimension-two condensate, which are exactly invariant under the modified Becchi-Rouet-Stora-Tyutin transformation, Lorentz transformation and color rotation.

ON RENORMALIZABILITY OF THE EFFECTIVE FIELD THEORY OF MASSIVE YANG–MILLS FIELDS

Effective field theory (EFT) of massive Yang–Mills fields interacting with fermions is considered. Perturbative renormalizability in the framework of EFT is shown. It is argued that the limit of vanishing vector boson mass leads to massless gauge EFT. Possible relevance for the solution to the strong CP problem is discussed.

Skyrmions with holography and hidden local symmetry

We study baryons as Skyrmions in holographic QCD with $\mathrm{D}4/\mathrm{D}8/\overline{\mathrm{D}8}$ multi-D brane system in type IIA superstring theory, and also in the nonlinear sigma model with hidden local symmetry. Comparing these two models, we find that the extra dimension and its nontrivial curvature can largely change the role of (axial) vector mesons for baryons in four-dimensional space-time. In the hidden local symmetry approach, the $\ensuremath{\rho}$-meson field as a massive Yang-Mills field has a singular configuration in Skyrmion, which gives a strong repulsion for the baryon as a stabilizer. When the ${a}_{1}$ meson is added in this approach, the stability of Skyrmion is lost by the cancellation of $\ensuremath{\rho}$ and ${a}_{1}$ contributions. On the contrary, in holographic QCD, the $\ensuremath{\rho}$-meson field does not appear as a massive Yang-Mills field due to the extra dimension and its nontrivial curvature. We show that the $\ensuremath{\rho}$-meson field has a regular configuration in Skyrmion, which gives a weak attraction for the baryon in holographic QCD. We argue that Skyrmion with $\ensuremath{\pi}$, $\ensuremath{\rho}$, and ${a}_{1}$ mesons become stable due to the curved extra dimension and also the presence of the Skyrme term in holographic QCD. From this result, we also discuss the features of our truncated-resonance analysis on baryon properties with $\ensuremath{\pi}$ and $\ensuremath{\rho}$ mesons below the cutoff scale ${M}_{\mathrm{KK}}\ensuremath{\sim}1\text{ }\text{ }\mathrm{GeV}$ in holographic QCD, which is compared with other 5D instanton analysis.

Quantum cosmological Friedman models with a massive Yang–Mills field

We prove the existence of a spectral resolution of the Wheeler–DeWitt equation when the matter field is provided by a massive Yang–Mills field. The resolution is achieved by first solving the free eigenvalue problem for the gravitational field and then the constrained eigenvalue problem for the Yang–Mills field. In the latter case, the mass of the Yang–Mills field assumes the role of the eigenvalue.

One-loop effective action in the % MathType!MTEF!2!1!+- % feaagaart1ev2aaatCvAUfKttLearuqr1ngBPrgarmWu51MyVXguY9 % gCGievaerbd9wDYLwzYbWexLMBbXgBcf2CPn2qVrwzqf2zLnharyav % P1wzZbItLDhis9wBH5garqqtubsr4rNCHbGeaGqiVu0Je9sqqrpepC % 0xbbL8F4rqqrFfpeea0xe9Lq-Jc9vqaqpepm0xbba9pwe9Q8fs0-yq % aqpepae9pg0FirpepeKkFr0xfr-xfr-xb9adbaqaaeGaciGaaiaabe % qaamaaeaqbaaGcbaWefv3ySLgznfgDOfdarCqr1ngBPrginfgDObYt % UvgaiyGacqWFneVtaaa!4736! $$ \mathcal{N} $$ =2 supersymmetric massive Yang-Mills field theory

We consider the \( \mathcal{N} \)=2 supersymmetric massive Yang-Mills field theory formulated in the \( \mathcal{N} \)=2 harmonic superspace. We present various gauge-invariant forms of writing the mass term in the action (in particular, using the Stueckelberg superfield), which result in dual formulations of the theory. We develop a gaugeinvariant and explicitly supersymmetric scheme of the loop expansion of the superfield effective action beyond the mass shell. In the framework of this scheme, we calculate gauge-invariant and explicitly \( \mathcal{N} \)=2 supersymmetric one-loop counterterms including new counterterms depending on the Stueckelberg superfield. We analyze the component structure of one of these counterterms.

Modified Faddeev–Jackiw quantization of massive non-Abelian Yang–Mills fields and Lagrange multiplier fields

Massive Yang–Mills fields and Lagrange multiplier fields are quantized by the modified Faddeev–Jackiw quantization method, and the method's comparisons with Dirac method and the usual Faddeev–Jackiw method are also given. We show that this method not only is equivalent to Dirac method, but also remains all the virtues of the usual Faddeev–Jackiw method. Moreover, the modified Faddeev–Jackiw quantization method is simpler than the usual one when obtaining new secondary constraints. Therefore, the modified Faddeev–Jackiw method is more economical and effective than Dirac method and the usual Faddeev–Jackiw method. Meanwhile, we find the new meanings of the Lagrange multipliers, and discover that the Lagrange multipliers and the zeroth components of gauge field are just a pair of canonical field variables except a constant factor in this system.

Hierarchy of massive gauge fields

An explicitly gauge invariant polynomial action for massive gauge fields is proposed. For different values of parameters it describes massive Yang–Mills field, the Higgs–Kibble model, the model with spontaneously broken symmetry and two scalar mesons.

Quantization of Yang—Mills Theory

The canonical formulation of a constrained system is discussed. Quantization ofthe massive Yang—Mills field as an application of a field theory containingsecond-class constraints is studied. The set of Hamilton—Jacobi partialdifferential equations and the path integral of these theories are obtained byusing the Muslih method.

Non-Abelian Black Holes in Higher Derivative Gravity

The static spherically symmetric black hole solutions in R+αR2 gravity coupled to a massive Yang-Mills field, namely, a Proca field are studied. Through the numerical integrations, it is shown that for positive α, there exist two distinct classes of solutions which have the horizon. One class approaches the Schwarzschild solution and the other may be interpreted as black holes with the new hair due to the αR2 term.

Properties of vector mesons at finite temperature: Effective Lagrangian approach.

The properties of $\rho$-mesons at finite temperature ($T$) are examined with an effective chiral lagrangian in which vector and axial-vector mesons are included as massive Yang-Mills fields of the chiral symmetry. It is shown that, at $T^2$ order, the effective mass is not changed but only the mixing effect in vector and axial-vector correlator appears.

Photon emission from hot hadronic matter described by an effective chiral Lagrangian.

The emission rates for photons from hadronic matter are calculated for the elementary processes \ensuremath{\pi}\ensuremath{\rho}\ensuremath{\rightarrow}\ensuremath{\pi}\ensuremath{\gamma}, \ensuremath{\pi}\ensuremath{\pi}\ensuremath{\rightarrow}\ensuremath{\rho}\ensuremath{\gamma}, and \ensuremath{\rho}\ensuremath{\rightarrow}\ensuremath{\pi}\ensuremath{\pi}\ensuremath{\gamma} at T=100, 150, 200 MeV. Hadronic matter is described by an effective chiral Lagrangian with pions, \ensuremath{\rho} mesons, and ${\mathit{A}}_{1}$ mesons. The vector and axial-vector mesons are included as massive Yang-Mills fields of chiral U(${\mathit{N}}_{\mathit{f}}$${)}_{\mathit{L}}$\ifmmode\times\else\texttimes\fi{}U(${\mathit{N}}_{\mathit{f}}$${)}_{\mathit{R}}$ symmetry. The emission rates are compared with those obtained without the ${\mathit{A}}_{1}$ meson. For \ensuremath{\pi}\ensuremath{\rho}\ensuremath{\rightarrow}\ensuremath{\pi}\ensuremath{\gamma} and \ensuremath{\pi}\ensuremath{\pi}\ensuremath{\rightarrow}\ensuremath{\rho}\ensuremath{\gamma} reactions the photon emission rates are increased with the inclusion of the ${\mathit{A}}_{1}$ meson in intermediate states. There is a small increase of the emission rate from \ensuremath{\rho}-meson decay.

Conformal (Weyl) invariance and Higgs mechanism

A massive Yang-Mills field theory with conformal invariance and gauge invariance is proposed. It involves gravitational and various gauge interactions, in which all the mass terms appear as a uniform form of interactionm(x)=KΦ(x). When the conformal symmetry is broken spontaneously and the gravitation is ignored the Higgs field emerges naturally, where the imaginary massμ can be described as a background curvature.

Massive Yang-Mills Field Theory with Conformal (Weyl) Invariance

A massive Yang-Mills field theory with the conformal (Weyl) invariance and gauge invariance is proposed. It involves the gravitational and various gauge interactions, in which all the mass terms appear as the uniform interactional form . When the conformal and gauge symmetries are broken spontaneously, the Einstein gravitation emerges and all the fields obtain masses, this theory is renormalizable and unitary with the gravitation ignored. Finally we give a relation between the theory and the Higgs mechanism.

The extended local gauge invariance and the BRS symmetry in stochastic quantization of gauge fields

We investigate the BRS invariance of the first-class constrained systems in the context of the stochastic quantization. For the first-class constrained systems, we construct the nilpotent BRS transformation and the BRS invariant stochastic effective action based on the ( D + 1)-dimensional field theoretical formulation of stochastic quantization. By eliminating the multiplier field of the gauge-fixing condition and an auxiliary field, it is shown that there exists a truncated BRS transformation which satisfies the nilpotency condition. The truncated BRS invariant stochastic action is also derived. As examples of the general formulation, we investigate the BRS invariant structure in the massless and massive Yang-Mills fields in stochastic quantization.

A CHIRALLY SYMMETRIC EFFECTIVE ACTION FOR VECTOR AND AXIAL VECTOR FIELDS IN A GLOBAL COLOR SYMMETRY MODEL OF QCD

We consider the quantum field theory of a model of an extended Nambu-Jona-Lasinio type with a QCD based nonlocal fermion current-current interaction which has global SU(Nc) symmetry. We obtain an exact bosonization of this model in four Euclidean dimensions using auxiliary bilocal fields and discuss the dynamical breakdown of chiral symmetry in the massless fermion limit. A local field bosonization is obtained by decomposing the bilocal fields in terms of complete orthonormal sets of functions with the expansion coefficients, which are local functions, identified as the local meson fields. Retaining the ground state pseudoscalar, vector and pseudovector local fields we obtain a local effective action for this sector of the theory. The derivative expansion of the fermionic determinant necessary to obtain this local action is self-regularizing because of the bilocal substructure present in the model which is manifest in the form factors that are associated with the local fields. In our local action the value of each coefficient depends critically on the underlying fermionic dynamics through these form factors and the vacuum functions. As a consequence of this the vector and pseudovector fields in the theory are best interpreted as simple fermion-antifermion bound states rather than as massive Yang-Mills fields or exotic composites of the pseudoscalars; interpretations that we find are not in general admitted when models such as the GCM are treated correctly. Identifying then the physical vector and pseudovector fields with the linearly transforming chiral partners introduced by the bosonization, we obtain an effective action for this sector of the meson spectrum which predicts values for the kinematic and dynamic quantities associated with these fields.

Properties of exact solutions for a massive classical Yang-Mills field

Exact solutions for a massive Yang-Mills field are found and solutions of classical Wong equations and quantum Dirac equations are discussed for the field configurations obtained. A procedure for constructing constant fields is given and transition to solutions of the Yang-Mills equations in the case of a massless field is discussed.

THE GENERALIZED NOETHER'S IDENTITIES AND ITS APPLICATIONS

We have generalized second Noether's theorem to the case in which the action integral is not invariant under the infinitesimal transformation involving arbitrary funetions, and we give some application for the massive Yang-Mills fields.