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We find the canonical and Belinfante energy-momentum tensors and their nonzero traces. We note that the dilatation symmetry is broken and the divergence of the dilatation current is proportional to the topological mass of the gauge field.…

Mathematical Physics · Physics 2011-12-30 S. I. Kruglov

The theory of a complex scalar interacting with a pure Chern-Simons gauge field is quantized canonically. Dynamical and nondynamical variables are separated in a gauge-independent way. In the physical subspace of the full Hilbert space,…

High Energy Physics - Theory · Physics 2007-05-23 Qiong-gui Lin

We compare the vortex-like solutions of two different theories in (2+1) dimensions. In the first a nonrelativistic field self-interacts through a Chern-Simons gauge connection. It is $P$ and $T$ violating. The second is the standard Maxwell…

High Energy Physics - Theory · Physics 2009-10-22 Pietro Donatis , Roberto Iengo

We discuss the generalization of Abelian Chern-Simons theories when $\theta $-angles and magnetic monopoles are included. We map sectors of two dimensional Conformal Field Theories into these three dimensional theories.

High Energy Physics - Theory · Physics 2015-06-26 Marco A. C. Kneipp

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 study a three-dimensional symmetric Chern-Simons field theory with a general covariance and it turns out that the original Chern-Simons theory is just a gauge fixed action of the symmetric Chern-Simons theory whose constraint algebra…

High Energy Physics - Theory · Physics 2007-05-23 Won Tae Kim , Myung Seok Yoon

We study the three-dimensional theory of two Chern-Simons gauge fields coupled to a scalar field in the bifundamental representation of the $SU(N)_k \times SU(M)_{-k}$ gauge group. At small but fixed $M \ll N$, this system approaches the…

High Energy Physics - Theory · Physics 2015-06-16 Shamik Banerjee , Djordje Radicevic

Subject of this work is a class of Chern-Simons field theories with non-semisimple gauge group, which may well be considered as the most straightforward generalization of an Abelian Chern-Simons field theory. As a matter of fact these…

High Energy Physics - Theory · Physics 2014-11-18 Franco Ferrari

In this work, we propose an exponentially generalized Abelian model. We investigated the presence of vortex structures in models coupled to Maxwell and Chern-Simons fields. We chose to investigate the dynamics of the complex scalar field in…

High Energy Physics - Theory · Physics 2022-06-15 F. C. E. Lima , C. A. S. Almeida

Topological quantum field theories can be used as a powerful tool to probe geometry and topology in low dimensions. Chern-Simons theories, which are examples of such field theories, provide a field theoretic framework for the study of knots…

High Energy Physics - Theory · Physics 2007-05-23 R. K. Kaul

Dynamical Chern-Simons gravity is an interesting extension of General Relativity, which finds its way in many different contexts, including string theory, cosmological settings and loop quantum gravity. In this theory, the gravitational…

General Relativity and Quantum Cosmology · Physics 2015-03-19 Paolo Pani , Vitor Cardoso , Leonardo Gualtieri

The observable properties of topological quantum matter are often described by topological field theories. We here demonstrate that this principle extends beyond thermal equilibrium. To this end, we construct a model of two-dimensional…

Statistical Mechanics · Physics 2020-07-01 Federico Tonielli , Jan Carl Budich , Alexander Altland , Sebastian Diehl

We construct a two-dimensional dual field theory induced at the boundary of three-dimensional Chern-Simons gravity invariant under the Maxwell algebra. The resulting action takes the form of a Maxwellian extension of the flat Liouville…

High Energy Physics - Theory · Physics 2025-06-10 Felix Höfenstock , Patricio Salgado-Rebolledo

We show that the renormalized vacuum expectation value of the Wilson loop for topologically massive abelian gauge theory in $\RR^3$ can be defined so that its large-mass limit be the renormalized vacuum expectation value of the Wilson loop…

High Energy Physics - Theory · Physics 2009-10-22 G. Giavarini , C. P. Martin , F. Ruiz Ruiz

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

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

In odd-dimensional spaces, gauge invariance permits a Chern-Simons mass term for the gauge fields in addition to the usual Maxwell-Yang-Mills kinetic energy term. We study the Casimir effect in such a (2+1)-dimensional Abelian theory. For…

High Energy Physics - Theory · Physics 2007-05-23 Kimball A. Milton

An analog of Chern-Simons theory is developed in an algebro-geometric setting.

alg-geom · Mathematics 2008-02-03 Spencer Bloch , Hélène Esnault

In this paper the hamiltonian analysis of the pure Chern-Simons theory on the noncommutative plane is performed. We use the techniques of geometric quantization to show that the classical reduced phase space of the theory has nontrivial…

High Energy Physics - Theory · Physics 2007-05-23 Alexandr Yelnikov

In this paper, we study the three-dimensional noncommutative Maxwell-Chern-Simons theory. In the present analysis, a complete account for the gauge field two-point function renormalizability is presented and physical significant quantities…

High Energy Physics - Theory · Physics 2016-04-27 M. Ghasemkhani , R. Bufalo