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The induced Chern-Simons term for a paired electron state is calculated in the quantum Hall system by using a field theory on the von Neumann lattice. The coefficient of the Chern-Simons term, which is the Hall conductance, has not only the…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 T. Aoyama , N. Maeda

It is known that in the 2+1 dimensional quantum electrodynamics with Chern-Simons term, spontaneous magnetic field induces Lorentz symmetry breaking. In this paper, thermodynamical characters, especially the phase structure of this model…

High Energy Physics - Theory · Physics 2009-09-25 Shinya Kanemura , Takao Matsushita

We calculate by the method of dimensional regularization and derivative expansion the one-loop effective action for a Dirac fermion with a Lorentz-violating and CPT-odd kinetic term in the background of a gauge field. We show that this term…

High Energy Physics - Theory · Physics 2009-10-31 J. -M. Chung , Phillial Oh

Lorentz violation through a radiatively induced Chern-Simons-like term in a fermionic theory embedded in linearized quantum gravity with a Lorentz- and CPT-violating axial-vector term in the fermionic sector proportional to a constant field…

High Energy Physics - Theory · Physics 2014-06-20 J. C. C. Felipe , A. R. Vieira , A. L. Cherchiglia , A. P. Baêta Scarpelli , Marcos Sampaio

We examine the nonperturbative structure of the radiatively induced Chern-Simons term in a Lorentz- and CPT-violating modification of QED. Although the coefficient of the induced Chern-Simons term is in general undetermined, the…

High Energy Physics - Theory · Physics 2007-05-23 B. Altschul

We compute the full contribution of flavor and (or) Lorentz anomalies to the thermodynamic partition function. Apart from the Wess-Zumino consistency condition the Euclidean generating function must satisfy an extra requirement which we…

High Energy Physics - Theory · Physics 2015-06-17 Kristan Jensen , R. Loganayagam , Amos Yarom

We discuss the behavior of theories of fermions coupled to Chern-Simons gauge fields with a non-abelian gauge group in three dimensions and at finite temperature. Using non-perturbative arguments and gauge invariance, and in contradiction…

High Energy Physics - Theory · Physics 2019-08-15 Daniel Cabra , Eduardo Fradkin , Gerardo L. Rossini , Fidel A. Schaposnik

Lorentz- and CPT-violating models of electrodynamics with Chern-Simons terms are typically plagued by various sorts of instabilities. However, when the Chern-Simons term arises from a slow time variation in a pseudoscalar field with an…

High Energy Physics - Theory · Physics 2020-08-11 Sapan Karki , Brett Altschul

Radiative corrections arising from the axial coupling of charged fermions to a constant vector b_\mu can induce a Lorentz- and CPT-violating Chern-Simons term in the QED action. We calculate the exact one-loop correction to this term…

High Energy Physics - Theory · Physics 2009-10-31 M. Perez-Victoria

The radiatively induced Lorentz and CPT violating Chern-Simons terms in QED is calculated based on the recently developed loop regularization method [Y.L. Wu, Int.J.Mod.Phys.A18 (2003) 5363, hep-th/0209021; Y.L. Wu, Mod.Phys.Lett.A19 (2004)…

High Energy Physics - Phenomenology · Physics 2008-11-26 Yong-Liang Ma , Yue-Liang Wu

We calculate the anomalous magnetic moment of the electron in the Chern-Simons theory in 2+1 dimensions with and without a Maxwell term, both at zero temperature as well as at finite temperature. In the case of the Maxwell-Chern-Simons…

High Energy Physics - Theory · Physics 2008-11-26 Ashok Das , Silvana Perez

We consider higher derivative CP(N) model in 2+1 dimensions with the Wess-Zumino-Witten term and the topological current density squared term. We quantize the theory by using the auxiliary gauge field formulation in the path integral method…

High Energy Physics - Theory · Physics 2009-10-31 Taichi Itoh , Phillial Oh

We analyze the Chern-Simons-like term generation in the CPT-odd Lorentz-violating Yang-Mills theory interacting with fermions. Moreover, we study the anomalies of this model as well as its quantum stability. The whole analysis is performed…

High Energy Physics - Theory · Physics 2017-12-27 Tiago R. S. Santos , Rodrigo F. Sobreiro

In this paper we examine the thermal effects of the vacuum Cherenkov radiation in a Lorentz- and CPT-violating electrodynamics. We compute the thermal contribution to the Cherenkov radiation rate within the Thermofield Dynamics approach.…

High Energy Physics - Theory · Physics 2022-07-13 R. Bufalo , A. F. Santos

The combined effects of the Lorentz-symmetry violating Chern-Simons and Ricci-Cotton actions are investigated for the Einstein-Hilbert gravity in the second order formalism modified by higher derivative terms, and their consequences on the…

High Energy Physics - Theory · Physics 2012-03-29 B. Pereira-Dias , C. A. Hernaski , J. A. Helayël-Neto

We show that the ambiguity for the Chern-Simons-like term induced from quantum correction in the extended QED should have nothing to do with the approximation on the exact fermionic propagator, contradictory to the claim in Ref.[19].…

High Energy Physics - Theory · Physics 2009-07-10 W. F. Chen

The radiative induction of the CPT and Lorentz violating Chern-Simons (CS) term is reassessed. The massless and massive models are studied. Special attention is given to the preservation of gauge symmetry at higher orders in the background…

High Energy Physics - Theory · Physics 2008-11-26 A. P. Baeta Scarpelli , Marcos Sampaio , M. C. Nemes , B. Hiller

We study the effect of a bulk Chern-Simons (CS) term on 3+1 dimensional type II superconductor in the context of the AdS/CFT correspondence. We holographically compute the super-current and find that it is non-local in nature. It receives…

High Energy Physics - Theory · Physics 2015-06-18 Nabamita Banerjee , Suvankar Dutta , Dibakar Roychowdhury

In this paper a Lorentz-violating CPT-even non-minimal coupling term is considered. A new interaction term between fermions and photons emerges. In this context, the differential cross-section for Bhabha scattering at finite temperature is…

High Energy Physics - Theory · Physics 2021-04-14 P. R. A. Souza , A. F. Santos , Faqir C. Khanna

Quantum corrections to Lorentz- and CPT-violating QED in flat spacetime produce unusual radiative corrections, which can be finite but of undetermined magnitude. The corresponding radiative corrections in a gravitational theory are even…

High Energy Physics - Theory · Physics 2019-06-20 Brett Altschul