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A Hamiltonian analysis of Yang-Mills (YM) theory in (2+1) dimensions with a level $k$ Chern-Simons term is carried out using a gauge invariant matrix parametrization of the potentials. The gauge boson states are constructed and the…

High Energy Physics - Theory · Physics 2015-06-26 Dimitra Karabali , Chanju Kim , V. P. Nair

A Hamiltonian formulation of Yang-Mills-Chern-Simons theories with $0\leq N\leq 4$ supersymmetry in terms of gauge-invariant variables is presented, generalizing earlier work on nonsupersymmetric gauge theories. Special attention is paid to…

High Energy Physics - Theory · Physics 2013-05-30 Abhishek Agarwal , V. P. Nair

Three dimensional Yang-Mills gauge theories in the presence of the Chern-Simons action are seen as being generated by the pure topological Chern-Simons term through nonlinear covariant redefinitions of the gauge field

High Energy Physics - Theory · Physics 2009-10-31 V. E. R. Lemes , C. Linhares de Jesus , S. P. Sorella , L. C. Q. Vilar , O. S. Ventura

We construct a covariant and gauge-invariant theory describing massive fractons in three spacetime dimensions, based on a symmetric rank-2 tensor field. The model includes a Chern-Simons-like term that plays a dual role: it generates a…

High Energy Physics - Theory · Physics 2025-10-28 Erica Bertolini , Matteo Carrega , Nicola Maggiore , Daniel Sacco Shaikh

Various gauge invariant but non-Yang-Mills dynamical models are discussed: Pr\'ecis of Chern-Simons theory in (2+1)-dimensions and reduction to (1+1)-dimensional B-F theories; gauge theories for (1+1)-dimensional gravity-matter…

High Energy Physics - Theory · Physics 2007-05-23 R. Jackiw

We discuss some aspects of the topological features of a non-interacting two (1+1)-dimensional Abelian gauge theory in the framework of superfield formalism. This theory is described by a BRST invariant Lagrangian density in the Feynman…

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

Mass generation of gauge fields can be universally described by topological couplings in gapped systems, such as the Abelian Higgs model in $(3+1)$ dimensions and the Maxwell-Chern-Simons theory in $(2+1)$ dimensions. These systems also…

High Energy Physics - Theory · Physics 2021-07-15 Naoki Yamamoto , Ryo Yokokura

In covariant gauges, the gluonic mass gap in Yang-Mills theory manifests itself in the basic observation that the massless pole in the perturbative gluon propagator disappears in nonperturbative calculations, but the origin of this behavior…

High Energy Physics - Phenomenology · Physics 2021-12-16 Gernot Eichmann , Jan M. Pawlowski

According to the conventional concept of the gauge field theory, the local gauge invariance excludes the possibility of giving a mass to the gauge boson without resorting to the Higgs mechanism because the Lagrangian constructed by adding a…

High Energy Physics - Theory · Physics 2007-05-23 Jun-chen Su

This is intended as a broad introduction to Chern-Simons gravity and supergravity. The motivation for these theories lies in the desire to have a gauge invariant system --with a fiber bundle formulation-- in more than three dimensions,…

High Energy Physics - Theory · Physics 2008-03-21 Jorge Zanelli

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

In order to have a new perspective on the long-standing problem of the mass gap in Yang-Mills theory, we study the quantum Yang-Mills theory in the presence of topologically nontrivial backgrounds in this paper. The topologically stable…

High Energy Physics - Theory · Physics 2021-07-02 Yachao Qian , Jun Nian

For the Yang-Mills theory coupled to a single scalar field in the fundamental representation of the gauge group, we present a gauge-independent description of the Brout-Englert-Higgs mechanism by which massless gauge bosons acquire their…

High Energy Physics - Theory · Physics 2018-08-15 Kei-Ichi Kondo

We present an alternative to the Higgs mechanism to generate masses for non-abelian gauge fields in (3+1)-dimensions. The initial Lagrangian is composed of a fermion with current-current and dipole-dipole type self-interactions minimally…

High Energy Physics - Theory · Physics 2009-10-28 Didier Caenepeel , Martin Leblanc

We define a group of extended non-Abelian gauge transformations for tensor gauge fields. On this group one can define generalized field strength tensors, which are transforming homogeneously with respect to the extended gauge…

High Energy Physics - Theory · Physics 2007-05-23 George Savvidy

We consider the Salam-Weinberg theory by introducing tensor gauge fields. When these fields are coupled in a topological way with the vector ones, the resulting system constitutes an alternative mechanism of mass generation for vector…

High Energy Physics - Theory · Physics 2007-05-23 J. Barcelos-Neto , S. Rabello

We consider (4+1)-dimensional topologically massive tensor gauge theory. This theory is an analog of the (2+1)-dimensional topologically massive Maxwell-Chern-Simons theory. If the space has a boundary, we find that a (3+1)-dimensional…

High Energy Physics - Theory · Physics 2022-03-23 Satoshi Yamaguchi

We present an alternative to the Higgs mechanism to generate masses for non-abelian gauge fields in (3+1)-dimensions. The initial Lagrangian is composed of a fermion with current-current and dipole-dipole type self-interactions minimally…

High Energy Physics - Theory · Physics 2007-05-23 D. Caenepeel , M. Leblanc

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

Chiral form fields in $d$ dimensions can be effectively described as edge modes of topological Chern-Simons theories in $d+1$ dimensions. At the same time, manifestly Lorentz-invariant Lagrangian description of such fields directly in terms…

High Energy Physics - Theory · Physics 2024-03-08 Oleg Evnin , Euihun Joung , Karapet Mkrtchyan