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We investigate the radiatively induced Chern-Simons-like term in four-dimensional field theory at finite temperature. The Chern-Simons-like term is temperature dependent and breaks the Lorentz and CPT symmetries. We find that this term…

High Energy Physics - Theory · Physics 2009-11-11 F. A. Brito , T. Mariz , J. R. Nascimento , E. Passos , R. F. Ribeiro

In this paper we evaluate the induced Lorentz and CPT violating Chern-Simons term in the QED action at finite temperature. We do this using the method of derivative expansion of fermion determinants. Also, we use the imaginary-time…

High Energy Physics - Theory · Physics 2007-05-23 J. R. S. Nascimento , R. F. Ribeiro , N. F. Svaiter

In this brief review we explicitly calculate the radiative corrections to the Chern-Simons-like term in the cases of zero and finite temperature, and in the gravity theory. Our results are obtained under the general guidance of dimensional…

High Energy Physics - Theory · Physics 2015-06-26 T. Mariz , J. R. Nascimento , E. Passos

We obtain the induced Lorentz- and CPT-violating term in QED at finite temperature using imaginary-time formalism and dimensional regularization. Its form resembles a Chern-Simons-like structure, but, unexpectedly, it does not depend on the…

High Energy Physics - Theory · Physics 2014-11-18 L. Cervi , L. Griguolo , D. Seminara

We study the radiatively induced Lorentz-violating terms at finite temperature, namely, the higher-derivative term and the Chern-Simons term. These terms are induced by integrating out the fermions coupled to the coefficient…

High Energy Physics - Theory · Physics 2015-05-30 J. Leite , T. Mariz

In a nonperturbative formulation, radiative corrections arising from Lorentz and CPT violation in the fermion sector induce a definite and nonzero Chern-Simons addition to the electromagnetic action. If instead a perturbative formulation is…

High Energy Physics - Phenomenology · Physics 2009-09-25 Roman Jackiw , Alan Kostelecky

The problem of Chern-Simons-like term induction via quantum corrections in four-dimensions is investigated in two different cases. In the first case, we consider two distinct approaches to deal with the exact fermion propagator of the…

High Energy Physics - Theory · Physics 2024-03-04 E. Passos , K. E. L. de farias , M. A. Anacleto , E. Maciel , C. A. G. Almeida

We have investigated the perturbative ambiguity of the radiatively induced Chern-Simons term in differential regularization. The result obtained in this method contains all those obtained in other regularization schemes and the ambiguity is…

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

Lorentz and CPT violating QED with massless fermions at finite temperature is studied. We show that there is no ambiguity in the induced coefficient of the Chern-Simons-like term that defines the so-called Carroll-Field-Jackiw model at high…

High Energy Physics - Theory · Physics 2015-05-13 F. A. Brito , L. S. Grigorio , M. S. Guimaraes , E. Passos , C. Wotzasek

We consider quantum electrodynamics with an additional Lorentz- and CPT-violating axial-vector term in the fermionic sector and discuss the possibility that radiative corrections induce a Lorentz- and CPT-violating Chern-Simons-like term…

High Energy Physics - Theory · Physics 2009-11-07 C. Adam , F. R. Klinkhamer

We show that in the functional integral formalism the (finite) coefficient of the induced, Lorentz- and CPT-violating Chern-Simons term, arising from the Lorentz- and CPT-violating fermion sector, is undetermined.

High Energy Physics - Theory · Physics 2016-08-25 J. -M. Chung

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

We investigate the breakdown of Lorentz symmetry in QED by a CPT violating interaction term consisting of the coupling of an axial fermion current with a constant vector field $b$, in the framework of algebraic renormalization -- a…

High Energy Physics - Theory · Physics 2010-05-25 Oswaldo M. Del Cima , Jakson M. Fonseca , Daniel H. T. Franco , Olivier Piguet

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

In this work, we study the radiative generation of the CPT-odd Lorentz-violating Chern-Simons term, arising from massless fermions. For this, we calculate the vacuum polarization tensor using the 't Hooft-Veltman regularization scheme, in…

High Energy Physics - Theory · Physics 2015-06-01 J. F. Assuncao , T. Mariz

The Schwinger proper-time method is an effective calculation method, explicitly gauge invariant and nonperturbative. We make use of this method to investigate the radiatively induced Lorentz and CPT-violating effects in quantum…

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

In this work, we analyze the generation of the higher-derivative Lorentz-violating Chern-Simons term at zero temperature and at finite temperature. We use the method of derivative expansion and the Matsubara formalism in order to consider…

High Energy Physics - Theory · Physics 2017-12-29 J. Leite , T. Mariz , W. Serafim

We examine finite temperature perturbation theory for Chern-Simons theories, in the context of an analogue 0+1-dimensional model. In particular, we show how nonextensive terms arise in the perturbative finite temperature effective action,…

High Energy Physics - Theory · Physics 2009-10-30 Ashok Das , Gerald Dunne

It is argued that the derivative expansion is a suitable method to deal with finite temperature field theory, if it is restricted to spatial derivatives only. Using this method, a simple and direct calculation is presented for the…

High Energy Physics - Theory · Physics 2009-11-07 L. L. Salcedo

We calculate the induced Lorentz- and CPT-violating 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. The result to all orders in $b$…

High Energy Physics - Theory · Physics 2008-11-26 J. -M. Chung
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