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Two-dimensional topological field theories possessing a non-abelian current symmetry are constructed. The topological conformal algebra of these models is analysed. It differs from the one obtained by twisting the $N=2$ superconformal…

High Energy Physics - Theory · Physics 2009-10-22 J. M. Isidro , A. V. Ramallo

A mechanism for the dynamical mass generation of a non-Abelian gauge field which is based on taking into account the contributions of the gauge field vacuum configurations into the formation of the physical vacuum is considered. For a model…

High Energy Physics - Theory · Physics 2007-05-23 V. E. Rochev

The non-abelian Einstein-Born-Infeld-Dilaton theory, which rules the dynamics of tensor-scalar gravitation coupled to a $su(2)$-valued gauge field ruled by Born-Infeld lagrangian, is studied in a cosmological framework. The microscopic…

General Relativity and Quantum Cosmology · Physics 2011-07-19 A. Fuzfa , J. -M. Alimi

In the framework of superfield approach to Becchi-Rouet-Stora-Tyutin (BRST) formalism, the derivation of the (anti-)BRST nilpotent symmetries for the matter fields, present in any arbitrary interacting gauge theory, has been a long-standing…

High Energy Physics - Theory · Physics 2010-11-05 R. P. Malik

Gauge field theory is developed in the framework of scale relativity. In this theory, space-time is described as a non-differentiable continuum, which implies it is fractal, i.e., explicitly dependent on internal scale variables. Owing to…

High Energy Physics - Theory · Physics 2009-11-11 Laurent Nottale , Marie-Noëlle Célérier , Thierry Lehner

We formulate a new class of tensor gauge field theories in any dimension that is a hybrid class between symmetric higher-rank tensor gauge theory (i.e., higher-spin gauge theory) and anti-symmetric tensor topological field theory. Our…

High Energy Physics - Theory · Physics 2020-12-24 Juven Wang , Kai Xu

In previous work done by us and coworkers, we have been able to construct a local, non-Abelian gauge invariant action with a mass parameter, based on the nonlocal gauge invariant mass dimension two operator F1/D^2F. The renormalizability of…

High Energy Physics - Theory · Physics 2008-11-26 David Dudal , Nele Vandersickel , Henri Verschelde

We consider SU(2) gauge potentials over a space with a compactified dimension. A non-Abelian Fourier transform of the gauge potential in the compactified dimension is defined in such a way that the Fourier coefficients are (almost) gauge…

High Energy Physics - Theory · Physics 2009-11-07 Grigorii B. Pivovarov , James P. Vary

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

A topological gauge invariant lagrangian for Seiberg-Witten monopole equations is constructed. The action is invariant under a huge class of gauge transformations which after BRST fixing leads to the BRST invariant action associated to…

High Energy Physics - Theory · Physics 2007-05-23 R. Gianvittorio , I. Martin , A. Restuccia

The derivation of the nilpotent (anti-)BRST symmetries for the matter fields, present in any arbitrary interacting gauge theory, has been an long-standing problem in the framework of superfield approach to BRST formalism. These nilpotent…

High Energy Physics - Theory · Physics 2008-11-26 R. P. Malik

In cases of both abelian and nonabelian gauge groups, we study the Higgs mechanism in the topologically massive gauge theories in an arbitrary space-time dimension. We show that when the conventional Higgs potential coexists with a…

High Energy Physics - Theory · Physics 2011-07-19 Ichiro Oda

The $\mathscr{N}=2^*$ supersymmetric gauge theory is a massive deformation of $\mathscr{N}=4$, in which the adjoint hypermultiplet gets a mass. We present a D-brane realisation of the (non-)Abelian $\mathscr{N}=2^*$ theory, and compute…

High Energy Physics - Theory · Physics 2018-03-14 Carlo Angelantonj , Ignatios Antoniadis , Marine Samsonyan

The topological properties of field configurations in gauge theory contain important data about the (generalized) global symmetries of the theory as well as potential inconsistencies in the form of gauge anomalies. In this work we modify…

High Energy Physics - Theory · Physics 2026-04-03 Markus Dierigl , Ruben Minasian , Dušan Novičić

Within the framework of Becchi-Rouet-Stora-Tyutin (BRST) formalism, we show that the four $(3+1)$-dimensional (4D) massive Abelian 2-form gauge theory (without any interaction with matter fields) is a model for the Hodge theory because its…

High Energy Physics - Theory · Physics 2020-02-24 S. Krishna , R. Kumar , R. P. Malik

We propose a generating functional for nonrelativistic gauge invariant actions. In particular, we consider actions without the usual magnetic term. Like in the Born-Infeld theory, there is an upper bound to the electric field strength in…

High Energy Physics - Theory · Physics 2011-02-25 Oleg Andreev

We study the gauge-fixing and symmetries (BRST-invariance and vector supersymmetry) of various six-dimensional topological models involving Abelian or non-Abelian 2-form potentials.

High Energy Physics - Theory · Physics 2009-10-31 F. Gieres , H. Nieder , T. Pisar , L. Popp , M. Schweda

We construct several quantum gauge theories in 4 dimensional space time, including both Abelian and non Abelian gauge groups, with the Abelian gauge fields coupled to zero mass matter fields. The construction occurs in a fixed finite…

Mathematical Physics · Physics 2025-02-06 James Glimm , Jarret Petrillo , Min Chul Lee

We provide an alternative to the gauge covariant horizontality condition which is responsible for the derivation of the nilpotent (anti-)BRST symmetry transformations for the gauge and (anti-)ghost fields of a (3 + 1)-dimensional (4D)…

High Energy Physics - Theory · Physics 2008-11-26 R. P. Malik

We study a set of theories built on a ranked sequence of antisymmetric tensor fields in D dimensional space-time. These linear theories exhibit gauge invariances that are analogous to the local gauge invariance of a massless vector…

High Energy Physics - Theory · Physics 2009-05-29 Michael Kalb
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