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A detailed analysis of Chern-Simons (CS) theories in which a compact abelian direct product gauge group U(1)^k is spontaneously broken down to a direct product H of (finite) cyclic groups is presented. The spectrum features global H…

High Energy Physics - Theory · Physics 2009-10-30 Mark de Wild Propitius

In this talk I describe recent work (hep-th/9606029) in which I classified all conceivable 2+1 dimensional Chern-Simons (CS) theories with continuous compact abelian gauge group or finite abelian gauge group. The CS theories with finite…

High Energy Physics - Theory · Physics 2011-04-15 Mark de Wild Propitius

By using the gauge-invariant but path-dependent, variables formalism, we consider a recently proposed topologically massive $U{\left( 1 \right)_{\cal W}} \times U{(1)_{\cal Y}}$ Chern-Simons-Higgs theory in $2+1$ dimensions. In particular,…

High Energy Physics - Theory · Physics 2016-04-14 Patricio Gaete , José A. Helayël-Neto

We identify a class of 2+1 dimensional models, involving multiple Chern-Simons gauge fields, in which a form of classical confinement occurs. This confinement is not cumulative, but allows finite mass combinations of individually confined…

High Energy Physics - Theory · Physics 2009-10-30 Lorenzo Cornalba , Frank Wilczek

In the presence of Chern-Simons interactions the wave functionals of physical states in 2+1-dimensional gauge theories vanish at anumber of nodal points. We show that those nodes are located at some classical configurations which carry a…

High Energy Physics - Theory · Physics 2009-10-28 M. Asorey , F. Falceto , J. L. Lopez , G. Luzon

This thesis deals with planar gauge theories in which some gauge group G is spontaneously broken to a finite subgroup H. The spectrum consists of magnetic vortices, global H charges and dyonic combinations exhibiting topological…

High Energy Physics - Theory · Physics 2007-05-23 Mark de Wild Propitius

We test the consistency of the use of a noncommutative theory description for charged particles in a strong magnetic field, by deriving the induced Chern-Simons (CS) term for an external Abelian gauge field in 2+1 dimensions. In this…

High Energy Physics - Theory · Physics 2008-11-26 M. L. Ciccolini , C. D. Fosco , A. Lopez

We show that slave particles are always confined in U(1) gauge theories of interacting electron systems. Consequently, the low-lying degrees of freedom are different from the slave particles. This is done by constructing a dual formulation…

Strongly Correlated Electrons · Physics 2009-10-31 Chetan Nayak

We study ${\cal N}=2$ Chern-Simons-matter theories with gauge group $U_{k_1}(1)\times U_{k_2}(1)$. We find that, when $k_1+k_2=0$, the partition function computed by localization dramatically simplifies and collapses to a single term. We…

High Energy Physics - Theory · Physics 2017-08-02 J. G. Russo , F. A. Schaposnik

2+1D multi-component $U(1)$ gauge theories with a Chern-Simons (CS) term provide a simple and complete characterization of 2+1D Abelian topological orders. In this paper, we extend the theory by taking the number of component gauge fields…

Strongly Correlated Electrons · Physics 2022-07-29 Xiuqi Ma , Wilbur Shirley , Meng Cheng , Michael Levin , John McGreevy , Xie Chen

First, we present a simple confining abelian pure gauge theory. Classically, its kinetic term is not positive definite, and it contains a simple UV regularized F^4 interaction. This provoques the formation of a condensate ~ F^2 such that,…

High Energy Physics - Theory · Physics 2011-09-13 U. Ellwanger , N. Wschebor

In this article we review some of the recent advances regarding the charged vortex solutions in abelian and nonabelian gauge theories with Chern-Simons (CS) term in two space dimensions. Since these nontrivial results are essentially…

High Energy Physics - Theory · Physics 2011-03-28 Avinash Khare

We find a series of non-Abelian topological phases that are separated from the deconfined phase of Z_N gauge theory by a continuous quantum phase transition. These non-Abelian states, which we refer to as the "twisted" Z_N states, are…

Strongly Correlated Electrons · Physics 2012-08-20 Maissam Barkeshli , Xiao-Gang Wen

We report on a new topological vortex solution in U(1)$\times$U(1) Maxwell-Chern-Simons theory. The existence of the vortex is envisaged by analytical means, and a numerical solution is obtained by integrating the equations of motion. These…

High Energy Physics - Theory · Physics 2015-09-23 Mohamed M. Anber , Yannis Burnier , Eray Sabancilar , Mikhail Shaposhnikov

We study the effect of a Chern-Simons (CS) term in the phase structure of two different Abelian gauge theories. For the compact Maxwell-Chern-Simons theory, we obtain that for values $g=n/2\pi$ of the CS coupling with $n=\pm 1,\pm 2$, the…

Strongly Correlated Electrons · Physics 2007-05-23 E. Smorgrav , J. Smiseth , A. Sudbo , F. S. Nogueira

In this paper we investigate the canonical quantization of a non-Abelian topologically massive Chern-Simons theory in which the gauge fields are minimally coupled to a multiplet of scalar fields in such a way that the gauge symmetry is…

High Energy Physics - Theory · Physics 2016-09-06 Lusheng Chen , Gerald Dunne , Kurt Haller , Edwin Lim-Lombridas

It is shown that permanent confinement in three-dimensional compact U(1) gauge theory can be destroyed by matter fields in a deconfinement transition. This is a consequence of a non-trivial infrared fixed point caused by matter, and an…

High Energy Physics - Theory · Physics 2011-07-19 Hagen Kleinert , Flavio S. Nogueira , Asle Sudbo

We study a non-Abelian Chern-Simons gauge theory in $ 2+ 1$ dimensions with the inclusion of an anomalous magnetic interaction. For a particular relation between the Chern-Simons (CS) mass and the anomalous magnetic coupling the equations…

High Energy Physics - Theory · Physics 2009-10-28 Armando Antillón , Joaquín Escalona , Gabriel Germán , Manuel Torres

A detailed analysis of anomalous U(1)'s and their effective couplings is performed both in field theory and string theory. It is motivated by the possible relevance of such couplings in particle physics, as well as a potential signal…

High Energy Physics - Theory · Physics 2009-11-11 P. Anastasopoulos , M. Bianchi , E. Dudas , E. Kiritsis

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
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