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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

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

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 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

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

A finite-temperature many-body perturbation theory is presented that expands in power series the electronic grand potential, chemical potential, internal energy, and entropy on an equal footing. Sum-over-states and sum-over-orbitals…

Chemical Physics · Physics 2020-07-15 So Hirata , Punit K. Jha

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

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

We examine the thermal behavior of a theory with charged massive vector matter coupled to Chern-Simons gauge field. We obtain a critical temperature Tc, at which the effective mass of vector field vanishes, and the system transfers from a…

High Energy Physics - Theory · Physics 2007-05-23 Wei Chen

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

A unified theory is presented for finite-temperature many-body perturbation expansions of the anharmonic vibrational contributions to thermodynamic functions: the free energy, internal energy, and entropy. The theory is diagrammatically…

Statistical Mechanics · Physics 2023-08-29 Xiuyi Qin , So Hirata

We discuss the problem of large gauge invariance at finite temperature.

High Energy Physics - Phenomenology · Physics 2007-05-23 Ashok Das

We study $D$-dimensional gauge theory with an extra dimension of a circle at finite temperature. We mainly focus on the expectation value of the gauge field for the direction of the extra dimension, which is the order parameter of the gauge…

High Energy Physics - Theory · Physics 2009-10-29 Makoto Sakamoto , Kazunori Takenaga

We settle the ``apparent'' paradox present in thermal QED_3 that the perturbative series is not invariant, as manifested by the temperature dependence of the induced Chern-Simons term, by showing that large (unlike small) transformations…

High Energy Physics - Theory · Physics 2007-05-23 D. Seminara

A finite-temperature perturbation theory for the grand canonical ensemble is introduced that expands chemical potential in a perturbation series and conserves the average number of electrons, ensuring charge neutrality of the system at each…

Chemical Physics · Physics 2019-10-21 So Hirata , Punit K. Jha

In this work the generation of generalized Chern-Simons terms in three dimensional quantum electrodynamics with high spatial derivatives is studied. We analyze the self-energy corrections to the gauge field propagator by considering an…

High Energy Physics - Theory · Physics 2013-10-03 Van Sérgio Alves , B. Charneski , M. Gomes , Leonardo Nascimento , Francisco Peña

We show that Chern-Simons gauge theory with appropriate cutoffs is equivalent, term by term in perturbation theory, to a Fermionic theory with a nonlocal interaction term. When an additional cutoff is placed on the Fermi fields, this…

Mathematical Physics · Physics 2009-02-22 Jonathan Weitsman

The perturbation theory with a variational basis is constructed and analyzed.The generalized Gaussian effective potential is introduced and evaluated up to the second order for selfinteracting scalar fields in one and two spatial…

High Energy Physics - Theory · Physics 2014-11-18 Paolo Cea , Luigi Tedesco

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

A comprehensive and detailed account is presented for the finite-temperature many-body perturbation theory for electrons that expands in power series all thermodynamic functions on an equal footing. Algebraic recursions in the style of the…

Statistical Mechanics · Physics 2021-09-21 So Hirata
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