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In this paper we show how it is possible to obtain mass generation in the context of non Abelian gauge field theory, using a non commutative spacetime. This is further confirmed by the modified dispersion relation that results from such a…

General Physics · Physics 2009-02-23 Burra G. Sidharth

In this work we revisit the topological mass generation of 2-forms and establish a connection to the unique derivative coupling arising in the quartic Lagrangian of the systematic construction of massive $2-$form interactions, relating in…

High Energy Physics - Theory · Physics 2020-09-21 Juan P. Beltrán Almeida , Alejandro Guarnizo , Lavinia Heisenberg , César A. Valenzuela-Toledo , Jann Zosso

We study topologically massive (B \wedge F) Abelian and non-Abelian gauge theories in four dimensions, and reduce them to three dimensions by assuming that the fields do not propagate in one of the spatial directions. For certain gauge…

High Energy Physics - Theory · Physics 2015-07-22 R. Kumar , Amitabha Lahiri

Within the framework of Becchi-Rouet-Stora-Tyutin (BRST) formalism, we discuss the off-shell nilpotent (anti-)BRST and the bosonic ghost-scale symmetries of a set of coupled (but equivalent) Lagrangian densities for the four (3 +…

High Energy Physics - Theory · Physics 2026-01-06 R. P. Malik

A gauge invariant formulation for the massive axion is considered. The axion acquires mass through a topological term which couples a (pseudo)scalar and a third rank antisymmetric tensor. Duality, local and canonical equivalences with the…

High Energy Physics - Theory · Physics 2009-10-31 P. J. Arias , A. Khoudeir

We discuss the general structure of the non-abelian Born-Infeld action, together with all of the alpha-prime derivative corrections, in flat D-dimensional space-time. More specifically, we show how the connection between open strings…

High Energy Physics - Theory · Physics 2007-05-23 L. Cornalba

We give a generalized Lagrangian density of 1+1 Dimensional O(3) nonlinear sigma model with subsidiary constraints, different Lagrange multiplier fields and topological term, find a lost intrinsic constraint condition, convert the…

High Energy Physics - Theory · Physics 2008-11-26 Yong-Chang Huang , Kai-Hua Yang , Xi-Guo Lee

A supersymmetric gauge invariant action is constructed over any 4-dimensional Riemannian manifold describing Witten's theory of 4-monopoles. The topological supersymmetric algebra closes off-shell. The multiplets include the auxiliary…

High Energy Physics - Theory · Physics 2009-10-30 R. Gianvittorio , I. Martin , A. Restuccia

We construct Hamiltonian dynamics of the generalized spherically symmetric gravitational model in extended phase space. We start from the Faddeev - Popov effective action with gauge-fixing and ghost terms, making use of gauge conditions in…

General Relativity and Quantum Cosmology · Physics 2014-06-13 T. P. Shestakova

We derive the field equations for topologically massive gravity coupled with the most general quadratic curvature terms using the language of exterior differential forms and a first order constrained variational principle. We find…

General Relativity and Quantum Cosmology · Physics 2016-09-28 T. Dereli , C. Yetismisoglu

In this work we use the method of consistent deformations of the master equation by Barnich and Henneaux in order to prove that an abelian topological coupling between a zero and a two form fields in D=3 has no nonabelian generalization. We…

High Energy Physics - Theory · Physics 2009-11-07 D. M. Medeiros , R. R. Landim , C. A. S. Almeida

We here propose a 5-dimensional {\bf Abelian gauge} model based on the mixing between a $U(1)$ potential and an Abelian 3-form field by means of a topological mass term. An extended covariant derivative is introduced to minimally couple a…

High Energy Physics - Theory · Physics 2015-08-20 D. Cocuroci , L. P. R. Ospedal , M. J. Neves , J. A. Helayël-Neto

We obtain the off-shell nilpotent Becchi-Rouet-Stora-Tyutin (BRST) and anti-BRST symmetry transformations (corresponding to the infinitesimal classical gauge symmetry transformations) for the modified massive three $(2+1)$-dimensional (3D)…

High Energy Physics - Theory · Physics 2025-07-08 S. K. Panja , E. Harikumar , R. P. Malik

For a (2+1)-dimensional topologically massive Born-Infeld theory, we compute the interaction potential within the structure of the gauge-invariant but path-dependent variables formalism. The result is equivalent to that of $QED_3$ with a…

High Energy Physics - Theory · Physics 2009-11-10 Patricio Gaete

We consider massive dual pairs of p-forms and (D-p-1)-forms described by non-linear Lagrangians, where non-linear curvature terms in one theory translate into non-linear mass-like terms in the dual theory. In particular, for D=2p and p even…

High Energy Physics - Theory · Physics 2015-06-23 S. Ferrara , A. Sagnotti

We derive together the exact local, covariant, continuous and off-shell nilpotent Becchi-Rouet-Stora-Tyutin (BRST) and anti-BRST symmetry transformations for the U(1) gauge field (A_\mu), the (anti-)ghost fields ((\bar C)C) and the Dirac…

High Energy Physics - Theory · Physics 2009-11-11 R. P. Malik

The Hamiltonian dynamics of \(2 + 1\) dimensional Yang-Mills theory with gauge group SU(2) is reformulated in gauge invariant, geometric variables, as in earlier work on the \(3 + 1\) dimensional case. Physical states in electric field…

High Energy Physics - Theory · Physics 2009-10-08 Michel Bauer , Daniel Z. Freedman

We derive the off-shell nilpotent symmetries of the two (1+1)-dimensional (2D) non-Abelian 1-form gauge theory by using the theoretical techniques of the geometrical superfield approach to Becchi-Rouet-Stora-Tyutin (BRST) formalism. For…

High Energy Physics - Theory · Physics 2017-12-01 N. Srinivas , R. P. Malik

We consider Abelian tensor hierarchy in four-dimensional ${\cal N}=1$ supergravity in the conformal superspace formalism, where the so-called covariant approach is used to antisymmetric tensor fields. We introduce $p$-form gauge superfields…

High Energy Physics - Theory · Physics 2016-10-12 Shuntaro Aoki , Tetsutaro Higaki , Yusuke Yamada , Ryo Yokokura

In some of the physically interesting gauge systems, we show that the application of the Noether theorem does not lead to the deduction of the Becchi-Rouet-Stora-Tyutin (BRST) and anti-BRST charges that obey precisely the off-shell…

High Energy Physics - Theory · Physics 2022-11-18 A. K. Rao , A. Tripathi , B. Chauhan , R. P. Malik