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Related papers: Extended Chern-Simons model for a vector multiplet

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Several interacting models of chiral bosons and gauge fields are investigated on the noncommutative extended Minkowski spacetime which was recently proposed from a new point of view of disposing noncommutativity. The models include the…

High Energy Physics - Theory · Physics 2015-05-27 Yan-Gang Miao , Ying-Jie Zhao

A fluid described by an Abelian Chern-Simons action principle in 4+1 dimensions is considered. Letting 3+1 dimensions correspond to the usual space and time, and assuming the fields to be independent of the fifth coordinate, the free theory…

Fluid Dynamics · Physics 2025-08-26 Miguel D. Bustamante , Laura Andrianopoli , Mario Trigiante , Jorge Zanelli

For a recently proposed pure gauge theory in three dimensions, without a Chern-Simons term, we calculate the static interaction potential within the structure of the gauge-invariant variables formalism. The result coincides with that of the…

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

Recently proposed extension of Yang-Mills theory contains non-Abelian tensor gauge fields. The Lagrangian has quadratic kinetic terms, as well as cubic and quartic terms describing non-linear interaction of tensor gauge fields with the…

High Energy Physics - Theory · Physics 2011-05-09 George Savvidy

We study the classical electrodynamics of extended bodies. Currently, there is no self-consistent dynamical theory of such bodies in the literature. Electromagnetic energy-momentum is not conserved in the presence of charge and some…

Classical Physics · Physics 2021-09-14 P. D. Flammer

The Chern-Simons lagrangian density in the space of metrics of a 3-dimensional manifold M is not invariant under the action of diffeomorphisms on M. However, its Euler-Lagrange operator can be identified with the Cotton tensor, which is…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Roberto Ferreiro Pérez

We quantize Quantum Electrodynamics in $2+1$ dimensions coupled to a Chern-Simons (CS) term and a charged spinor field, in covariant gauges and in the Coulomb gauge. The resulting Maxwell-Chern-Simons (MCS) theory describes charged fermions…

High Energy Physics - Theory · Physics 2015-06-26 Kurt Haller , Edwin Lim-Lombridas

We have studied the noncommutative extension of the relativistic Chern-Simons-Higgs model, in the first non-trivial order in $\theta$, with only spatial noncommutativity. Both Lagrangian and Hamiltonian formulations of the problem have been…

High Energy Physics - Theory · Physics 2009-11-10 Subir Ghosh

The topological non-Abelian Chern-Simons theory with a boundary is shown to require a scalar field companion in order to preserve overall gauge-invariance both in the 3 dimensional manifold, as well as on its boundary. This scalar field,…

High Energy Physics - Theory · Physics 2017-05-04 Kumar Abhinav , Samir K. Paul

Chern-Simons (CS) forms generalize the minimal coupling between gauge potentials and point charges, to sources represented by charged extended objects (branes). The simplest example of such a CS-brane coupling is a domain wall coupled to…

High Energy Physics - Theory · Physics 2013-05-30 Luis Huerta , Jorge Zanelli

We study three dimensional conformal field theories described by U(N) Chern-Simons theory at level k coupled to massless fermions in the fundamental representation. By solving a Schwinger-Dyson equation in lightcone gauge, we compute the…

High Energy Physics - Theory · Physics 2015-05-30 Simone Giombi , Shiraz Minwalla , Shiroman Prakash , Sandip P. Trivedi , Spenta R. Wadia , Xi Yin

We study the perturbation theory for three dimensional Chern--Simons quantum field theory on a general compact three manifold without boundary. We show that after a simple change of variables, the action obtained by BRS gauge fixing in the…

High Energy Physics - Theory · Physics 2008-02-03 Scott Axelrod , I. M. Singer

Being gauge non-invariant, a Chern-Simons (2k-1)-form seen as a Lagrangian of gauge theory on a (2k-1)-dimensional manifold leads to the gauge conservation law of a modified Noether current.

High Energy Physics - Theory · Physics 2007-05-23 G. Sardanashvily

The Lagrangian of non-Abelian tensor gauge fields describes the interaction of the Yang-Mills and massless tensor bosons of increasing helicities. We have found a metric-independent gauge invariant density which is a four-dimensional analog…

High Energy Physics - Theory · Physics 2020-10-27 George Savvidy

Focusing on gauge degrees of freedom specified by a 1+3 dimensions model hosting a Maxwell term plus a Lorentz and CPT non-invariant Chern-Simons-like contribution, we obtain a minimal extension of such a system to a supersymmetric…

High Energy Physics - Theory · Physics 2009-11-10 H. Belich , J. L. Boldo , L. P. Colatto , J. A. Helayel-Neto , A. L. M. A. Nogueira

Four-dimensional homogeneous static and rotating black strings in dynamical Chern-Simons modified gravity, with and without torsion, are presented. Each solution is supported by a scalar field that depends linearly on the coordinate that…

General Relativity and Quantum Cosmology · Physics 2019-05-16 Adolfo Cisterna , Cristóbal Corral , Simón del Pino

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

Considering three-dimensional Chern-Simons theory, either coupled to matter or with a Yang-Mills term, we show the validity of a trace identity, playing the role of a local form of the Callan-Symanzik equation, in all orders of perturbation…

High Energy Physics - Theory · Physics 2015-06-26 Oswaldo M. Del Cima , Daniel H. T. Franco , Jose A. Helayel-Neto , Olivier Piguet

In recent times some interesting field theoretical descriptions of the statistical mechanics of entangling polymers have been proposed by various authors. In these approaches, a single test polymer fluctuating in a background of static…

High Energy Physics - Theory · Physics 2009-10-31 Franco Ferrari , Ignazio Lazzizzera

We study three dimensional O(N)_k and U(N)_k Chern-Simons theories coupled to a scalar field in the fundamental representation, in the large N limit. For infinite k this is just the singlet sector of the O(N) (U(N)) vector model, which is…

High Energy Physics - Theory · Physics 2015-05-30 Ofer Aharony , Guy Gur-Ari , Ran Yacoby