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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

In this work we investigate the radiatively induced Chern-Simons-like terms in four-dimensions at zero and finite temperature. We use the approach of rationalizing the fermion propagator up to the leading order in the CPT-violating coupling…

High Energy Physics - Theory · Physics 2009-11-13 F. A. Brito , J. R. Nascimento , E. Passos , A. Petrov

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

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

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

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

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 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

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

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

We perform the perturbative generation of the higher-derivative Chern-Simons contribution to the effective action in the three-dimensional QED at zero and finite temperature. In the latter case, we show that as the temperature goes to…

High Energy Physics - Theory · Physics 2016-08-11 M. A. Anacleto , F. A. Brito , O. B. Holanda , E. Passos , A. Yu. Petrov

In this paper we discuss finiteness and ambiguities of the higher-derivative Lorentz-breaking terms in extended QED with a magnetic coupling at the finite temperature. We find that, beside of the higher-derivative Carroll-Field-Jackiw-like…

High Energy Physics - Theory · Physics 2016-03-08 A. Celeste , T. Mariz , J. R. Nascimento , A. Yu. Petrov

The general conditions for the Chern-Simons action to be induced as a nonuniversal contribution of fermionic determinant are formulated in the finite temperature lattice QCD. The dependence of the corresponding action coefficient on…

High Energy Physics - Lattice · Physics 2009-10-22 O. A. Borisenko , V. K. Petrov , G. M. Zinovjev

We calculate the linearized four-dimensional gravitational Chern-Simons term at the finite temperature, show its finiteness and explicitly demonstrate that its transversal part matches the known result for the chiral vortical conductivity.

High Energy Physics - Theory · Physics 2018-08-16 J. F. Assuncao , T. Mariz , J. R. Nascimento , A. Yu. Petrov

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

In this paper, we apply the proper-time method to generate the Lorentz-violating Chern-Simons terms in the four-dimensional Yang-Mills and non-linearized gravity theories. It is shown that the coefficient of the induced Chern-Simons term is…

High Energy Physics - Theory · Physics 2008-11-26 T. Mariz , J. R. Nascimento , A. Yu. Petrov , L. Y. Santos , A. J. da Silva

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

We study the 0+1 dimensional Chern-Simons theory at finite temperature within the framework of derivative expansion. We obtain various interesting relations, solve the theory within this framework and argue that the derivative expansion is…

High Energy Physics - Theory · Physics 2009-10-31 J. Barcelos-Neto , Ashok Das

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 compute the exact finite temperature effective action in a 0+1-dimensional field theory containing a topological Chern-Simons term, which has many features in common with 2+1-dimensional Chern-Simons theories. This exact result explains…

High Energy Physics - Theory · Physics 2009-10-30 Gerald Dunne , Kimyeong Lee , Changhai Lu
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