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This talk presents a study of massless relativistic Dirac fields in three Euclidean dimensions, at finite temperature and density, in the presence of a uniform electromagnetic background. Apart from explaining the behavior of Hall's…

High Energy Physics - Theory · Physics 2008-10-01 E. M. Santangelo

It is well known that Chern-Simons Theories are in the constrained systems and their total Hamiltonians become identically zero, because of their gauge invariance. While treating the constraints quantum mechanially, it will be expected taht…

High Energy Physics - Theory · Physics 2013-02-25 M. Nakamura

We develop elementary canonical methods for the quantization of abelian and nonabelian Chern-Simons actions using well known ideas in gauge theories and quantum gravity. Our approach does not involve choice of gauge or clever manipulations…

High Energy Physics - Theory · Physics 2015-06-26 A. P. Balachandran , G. Bimonte , K. S. Gupta , A. Stern

We study Chern-Simons theory on 3-manifolds M that are circle-bundles over 2-dimensional orbifolds S by the method of Abelianisation. This method, which completely sidesteps the issue of having to integrate over the moduli space of…

High Energy Physics - Theory · Physics 2015-06-16 Matthias Blau , George Thompson

We perform the Batalin-Vilkovisky analysis of gauge-fixing for graded Chern-Simons theories. Upon constructing an appropriate gauge-fixing fermion, we implement a Landau-type constraint, finding a simple form of the gauge-fixed action. This…

High Energy Physics - Theory · Physics 2009-11-07 C. I. Lazaroiu , R. Roiban

A generalization of Chern-Simons gauge theory is formulated in any dimension and arbitrary gauge group where gauge fields and gauge parameters are differential forms of any degree. The quaternion algebra structure of this formulation is…

High Energy Physics - Theory · Physics 2017-05-31 Alessandro D'Adda , Noboru Kawamoto , Naoki Shimode , Takuya Tsukioka

We propose a variant scheme of the Gauge Unfixing formalism which modifies directly the original phase space variables of a constrained system. These new variables are gauge invariant quantities. We apply our procedure in a mixed…

High Energy Physics - Theory · Physics 2011-08-04 Jorge Ananias Neto

We consider supersymmetric quantum mechanical systems in arbitrary dimensions on curved spaces with nontrivial gauge fields. The square of the Dirac operator serves as Hamiltonian. We derive a relation between the number of supercharges…

High Energy Physics - Theory · Physics 2009-11-10 A. Kirchberg , J. D. Laenge , A. Wipf

In this short note we provide a proof that the Chern-Simons part of the action for N D-branes is invariant under gauge transformations of the RR fields of the type C_p ->C_p + d\Lambda_{p-1}, and rewrite the action in a form that makes this…

High Energy Physics - Theory · Physics 2010-02-03 Calin Ciocarlie

For background gauge field configurations reducible to the form Amu = (A3, A(x)) where A3 is a constant, we provide an elementary derivation of the recently obtained result for the exact induced Chern-Simons (CS) effective action in QED3 at…

High Energy Physics - Theory · Physics 2009-10-30 I. J. R. Aitchison , C. D. Fosco

We consider a spontaneously broken nonabelian topologically massive gauge theory in a broken phase possessing a residual nonabelian symmetry. Recently there has been some question concerning the renormalization of the Chern-Simons…

High Energy Physics - Theory · Physics 2009-10-28 L. Chen , G. Dunne , K. Haller , E. Lim-Lombridas

We present a gauged Lifshitz Lagrangian including second and forth order spatial derivatives of the scalar field and a Chern-Simons term, and study non-trivial solutions of the classical equations of motion. While the coefficient beta of…

High Energy Physics - Theory · Physics 2015-06-11 Gustavo Lozano , Fidel A. Schaposnik , Gianni Tallarita

We give analytical and numerical solutions for the zero modes of the Dirac operator in topological SU(2) gauge backgrounds at nonzero chemical potential. Continuation from imaginary to real chemical potential is used to systematically…

High Energy Physics - Phenomenology · Physics 2013-09-11 Falk Bruckmann , Rudolf Rodl , Tin Sulejmanpasic

We apply the noncommutative fields method to the three-dimensional non-Abelian gauge theory. We find that, first, implementing the noncommutativity between the canonical momenta implies in generation of the non-Abelian Chern-Simons term,…

High Energy Physics - Theory · Physics 2008-05-09 J. R. Nascimento , A. Yu. Petrov , E. O. Silva

Yang-Mills theory in four dimensions formally admits an exact Chern-Simons wavefunction. It is an eigenfunction of the quantum Hamiltonian with zero energy. It is known to be unphysical for a variety of reasons, but it is still interesting…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Edward Witten

We find explicitly a zero mode of the Kraichnan operator at two dimensions.

chao-dyn · Physics 2008-02-03 E. Balkovsky

The path integral for the partition function of Chern-Simons gauge theory with a compact gauge group is evaluated on a general Seifert 3-manifold. This extends previous results and relies on abelianisation, a background field method and…

High Energy Physics - Theory · Physics 2018-12-31 Matthias Blau , Keita Kaniba Mady , K. S. Narain , George Thompson

We present a generalization of the infinitesimal gauge transformation for nonabelian fields on the stack of branes up to the third order in $\Phi$. We test the gauge invariance of the action up to the fifth order in $\Phi$ for…

High Energy Physics - Theory · Physics 2008-11-26 A. Alexandrov

Chern-Simons theory coupled to complex scalars is quantized on the light- front in the local light-cone gauge by constructing the self-consistent hamiltonian theory. It is shown that no inconsistency arises on using two local gauge-fixing…

High Energy Physics - Theory · Physics 2007-05-23 Prem P. Srivastava

We explore the possibilities for constructing Lagrangian descriptions of three-dimensional superconformal classical gauge theories that contain a Chern-Simons term, but no kinetic term, for the gauge fields. Classes of such theories with N…

High Energy Physics - Theory · Physics 2008-11-26 John H. Schwarz
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