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The nonperturbative fermion-boson vertex function in four-dimensional Abelian gauge theories is self-consistently and exactly derived in terms of a complete set of normal (longitudinal) and transverse Ward-Takahashi relations for the The…

High Energy Physics - Theory · Physics 2007-05-23 Han-xin He

We consider a model of classical noncommutative particle in an external electromagnetic field. For this model, we prove the existence of generalized gauge transformations. Classical dynamics in Hamiltonian and Lagrangian form is discussed,…

Mathematical Physics · Physics 2010-02-17 D. M. Gitman , V. G. Kupriyanov

Consistency of $GL(3,R)$ gauge theory of gravity coupled with an external electromagnetic field, is studied. It is shown that possible restrictions on Maxwell field can be avoided through introduction of auxiliary fields.

General Relativity and Quantum Cosmology · Physics 2007-05-23 Rolando Gaitan , Frank Vera

We propose the new nondissipative transport effect - the appearance of axial current of thermal quasiparticles in the presence of background gravity with torsion. For the non-interacting model of massless Dirac fermions the response of the…

Mesoscale and Nanoscale Physics · Physics 2018-12-06 Z. V. Khaidukov , M. A. Zubkov

Abelian topologically massive gauge theories (TMGT) provide a topological mechanism to generate mass for any p-tensor boson in any dimension. Within the Hamiltonian formulation, the embedded topological field theory (TFT) is not made…

High Energy Physics - Theory · Physics 2007-05-25 Bruno Bertrand

We study the properties of a non-abelian gauge theory subjected to a gauge invariant constraint given by the classical equations of motion. The constraint is not imposed by hand, but appears naturally when we study a particular type of…

High Energy Physics - Theory · Physics 2016-08-16 Jorge Alfaro , Pedro Labraña

We derive the equations of motion of test bodies for a theory with nonminimal coupling by means of a multipole method. The propagation equations for pole-dipole particles are worked out for a gravity theory with a very general coupling…

Astrophysics · Physics 2008-12-30 Dirk Puetzfeld , Yuri N. Obukhov

We construct the theory of non-abelian gauge antisymmetric tensor fields, which generalize the standard Yang-MIlls fields and abelian gauge p-forms. The corresponding gauge group acts on the space of inhomogeneous differential forms and it…

High Energy Physics - Theory · Physics 2008-11-26 S. N. Solodukhin

How to detect spacetime torsion? In this essay we provide the theoretical basis for an answer to this question. Multipolar equations of motion for a very general class of gravitational theories with nonminimal coupling in spacetimes…

General Relativity and Quantum Cosmology · Physics 2014-09-10 Dirk Puetzfeld , Yuri N. Obukhov

We present a simple renormalizable abelian gauge model which includes antisymmetric second-rank tensor fields as matter fields rather than gauge fields known for a long time. The free action is conformally rather than gauge invariant. The…

High Energy Physics - Theory · Physics 2009-10-22 L. V. Avdeev , M. V. Chizhov

Noncommutative geometric construction of gravity in the two sheeted spacetime can be viewed as a discretized version of a Kaluza-Klein theory. In this paper, we show that it is possible to incorporate the nonabelian gauge fields in the same…

General Relativity and Quantum Cosmology · Physics 2020-09-25 Viet Ai Nguyen , Du Tien Pham

In this paper we generalize the quantum gauge transformation of Maxwell theory obtained through gaugeon formalism. The generalization is made by making the bosonic transformation parameter field-dependent. The Jacobian of vacuum functional…

High Energy Physics - Theory · Physics 2014-02-17 Sudhaker Upadhyay

We derive multipolar equations of motion for gravitational theories with general nonminimal coupling in spacetimes admitting torsion. Our very general findings allow for the systematic testing of whole classes of theories by means of…

General Relativity and Quantum Cosmology · Physics 2014-10-22 Dirk Puetzfeld , Yuri N. Obukhov

We investigate higher-derivative extensions of Einstein-Maxwell theory that are invariant under electromagnetic duality rotations, allowing for non-minimal couplings between gravity and the gauge field. Working in a derivative expansion of…

High Energy Physics - Theory · Physics 2021-09-01 Pablo A. Cano , Ángel Murcia

We consider a class of gauge invariant models on the noncommutative space $\mathbb{R}^3_\lambda$, a deformation of $\mathbb{R}^3$. Focusing on massless models with no linear $A_i$ dependence, we obtain noncommutative gauge models for which…

High Energy Physics - Theory · Physics 2014-08-20 Antoine Géré , Patrizia Vitale , Jean-Christophe Wallet

A massive gauge invariant formulation for scalar ($\phi$) and antisymmetric ($C_{mnp}$) fields with a topological coupling, which provides a mass for the axion field, is considered. The dual and local equivalence with the non-gauge…

High Energy Physics - Theory · Physics 2014-11-18 Pio Jose Arias , Adel Khoudeir

We give the Lagrangian formulation of a generic non-minimally extended Einstein-Maxwell theory with an action that is linear in the curvature and quadratic in the electromagnetic field. We derive the coupled field equations by a first order…

General Relativity and Quantum Cosmology · Physics 2011-03-21 T. Dereli , O. Sert

A manifestly gauge invariant formulation of the coupling of the Maxwell theory with an Einstein Cartan geometry is given, where the space time torsion originates from a massless Kalb-Ramond field augmented by suitable U(1) Chern Simons…

General Relativity and Quantum Cosmology · Physics 2010-04-06 Parthasarathi Majumdar , Soumitra SenGupta

One of the greatest unsolved issues of the physics of this century is to find a quantum field theory of gravity. According to a vast amount of literature unification of quantum field theory and gravitation requires a gauge theory of gravity…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Rainer W. Kuhne

We are interested in the homogenization of energy like quantities in electromagnetism. We prove a general propagation Theorem for H-measures associated to Maxwell's system, in the full space $\Omega =\R^{3}$, without boundary conditions. We…

Analysis of PDEs · Mathematics 2007-05-23 Hassan Taha