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Related papers: On effective Chern-Simons Term induced by a Local …

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We analyze an abelian gauge model in 3 dimensions which includes massless scalar matter fields. By controlling the trace anomalies with a local dilatation Ward identity, we show that, in perturbation theory and within the BPHZL scheme, the…

High Energy Physics - Theory · Physics 2009-10-22 Alberto Blasi , Nicola Maggiore , Silvio P. Sorella

In this note, we revisit the 4-dimensional theory of massive gravity through compactification of an extra dimension and geometric symmetry breaking. We dimensionally reduce the 5-dimensional topological Chern-Simons gauge theory of (anti)…

High Energy Physics - Theory · Physics 2020-10-20 Mahdi Torabian

We rediscuss the controversy on a possible Chern-Simons like term generated through radiative corrections in QED with a CPT violating term. We analyse some consequences of the division of the Lagrangian density between "free part" and…

High Energy Physics - Theory · Physics 2008-11-26 Guy Bonneau

The parity-violating topological term in the effective action for 2+1 massive fermions is computed at finite temperature in the presence of a constant background field strength tensor. Gauge invariance of the finite-temperature effective…

High Energy Physics - Theory · Physics 2009-10-30 R. Gonzalez Felipe

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 propose that the Chern-Simons invariant of the Ashtekar-Sen connection is the natural internal time coordinate for classical and quantum cosmology. The reasons for this are a number of interesting properties of this functional, which we…

General Relativity and Quantum Cosmology · Physics 2011-07-19 Lee Smolin , Chopin Soo

We present the effective potential for nonrelativistic matter coupled to non-Abelian Chern-Simons gauge fields. We perform the calculation using a functional method in constant background fields to satisfy Gauss's law and to simplify the…

High Energy Physics - Theory · Physics 2011-07-19 D. Caenepeel , M. Leblanc

We comment on the calculation of the Chern-Simons coefficient in (2+1)-dimensional gauge theories at finite chemical potential made by A.N.Sissakian, O.Yu.Shevchenko and S.B.Solganik (hep-th/9608159 and hep-th/9612140).

High Energy Physics - Theory · Physics 2007-05-23 Vadim Zeitlin

We study Chern-Simons Gauge Theory in axial gauge on ${\mathbb R}^3.$ This theory has a quadratic Lagrangian and therefore expectations can be computed nonperturbatively by explicit formulas, giving an (unbounded) linear functional on a…

Differential Geometry · Mathematics 2024-05-28 Jonathan Weitsman

Using the Fock-Schwinger proper time method, we calculate the induced Chern-Simons term arising from the Lorentz- and CPT-violating sector of quantum electrodynamics with a $b_\mu \bar{\psi}\gamma^\mu \gamma_5 \psi$ term. Our result to all…

High Energy Physics - Theory · Physics 2009-11-07 J. -M. Chung , B. K. Chung

We find the inconsistency of dimensional reduction and naive dimensional regularization in their applications to Chern-Simons type gauge theories. Further we adopt a consistent dimensional regularization to investigate the quantum…

High Energy Physics - Theory · Physics 2009-10-31 M. Chaichian , W. F. Chen

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

A Chern-Simons action for supergravity in odd-dimensional spacetimes is proposed. For all odd dimensions, the local symmetry group is a non trivial supersymmetric extension of the Poincar\'e group. In $2+1$ dimensions the gauge group…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Maximo Banados , Ricardo Troncoso , Jorge Zanelli

The dynamical breaking of gauge symmetry in the supersymmetric quantum electrodynamics in three-dimensional spacetime is studied at two-loop approximation. At this level, the effective superpotential is evaluated in a supersymmetric phase.…

High Energy Physics - Theory · Physics 2009-01-21 A. C. Lehum

We re-examine three-dimensional gauge theory with a Chern-Simons term in which the Lorentz invariance is spontaneously broken by dynamical generation of a magnetic field. A non-vanishing magnetic field leads, through the Nambu-Goldstone…

High Energy Physics - Theory · Physics 2010-11-01 Yutaka Hosotani

We study parity violation in $2+1$-dimensional gauge theories coupled to massive fermions. Using the $\zeta$-function regularization approach we evaluate the ground state fermion current in an arbitrary gauge field background, showing that…

High Energy Physics - Theory · Physics 2015-06-26 R. E. Gamboa Saravi , G. L. Rossini , F. A. Schaposnik

We analyze a holographic model with a pure gauge and a mixed gauge-gravitational Chern-Simons term in the action. These are the holographic implementations of the usual chiral and the mixed gauge-gravitational anomalies in four dimensional…

High Energy Physics - Theory · Physics 2015-05-28 Karl Landsteiner , Eugenio Megias , Luis Melgar , Francisco Pena-Benitez

The gauge-invariant Chern-Simons-type Lorentz- and CPT-breaking term is here re-assessed and issues like causality, unitarity, spontaneous gauge-symmetry breaking are investigated. Moreover, we obtain a minimal extension of such a system to…

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

In a 4D chiral Thirring model we analyse the possibility that radiative corrections may produce spontaneous breaking of Lorentz and CPT symmetry. By studying the effective potential, we verified that the chiral current $\bar\psi\gamma^{\mu}…

High Energy Physics - Theory · Physics 2008-11-26 M. Gomes , T. Mariz , J. R. Nascimento , A. J. da Silva

The three dimensional Chern-Simons theory on $\rr^2_{\theta}\times \rr$ is studied. Considering the gauge transformations under the group elements which are going to one at infinity, we show that under arbitrary (finite) gauge…

High Energy Physics - Theory · Physics 2009-10-07 M. M. Sheikh-Jabbari