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A five-dimensional Chern-Simons gravity theory based on the anti-de Sitter group SO(4,2) is argued to be a useful model in which to understand the details of holography and the relationship between generally covariant and dual local quantum…

High Energy Physics - Theory · Physics 2009-10-31 L. D. Paniak

We consider Chern-Simons theory coupled to massive fundamental matter in three spacetime dimensions at finite temperature, in the large $N$ limit. We compute several thermal correlators in this theory for both fermionic and bosonic matter…

High Energy Physics - Theory · Physics 2021-02-03 Amiya Mishra

We define and solve the $\text{U(1)}$ Chern-Simons-Maxwell theory on spacetime lattice, with an emphasis on the chirality of the theory. Realizing Chern-Simons theory on lattice has been a problem of interest for decades, and over the years…

High Energy Physics - Theory · Physics 2025-08-18 Ze-An Xu , Jing-Yuan Chen

We derive an induced Abelian Chern-Simons (CS) term in 2+1 dimensions, by dimensional reduction from the finite-temperature theory of a Dirac field with both vector and axial-vector couplings to two Abelian gauge fields, in 3+1 dimensions.…

High Energy Physics - Theory · Physics 2022-06-08 C. D. Fosco , F. A. Schaposnik

We study the problem of boundary terms and boundary conditions for Chern-Simons gravity in five dimensions. We show that under reasonable boundary conditions one finds an effective field theory at the four-dimensional boundary described by…

General Relativity and Quantum Cosmology · Physics 2011-09-09 Maximo Banados

A Fermi surface threaded by a Berry phase can be described by the Wess-Zumino-Witten (WZW) term. After gauging, it produces a five-dimensional Chern-Simons term in the action. We show how this Chern-Simons term captures the essence of the…

High Energy Physics - Theory · Physics 2013-10-16 Gokce Basar , Dmitri E. Kharzeev , Ismail Zahed

We discuss the Chern-Simons theory in three-dimensional curved space-time in the vielbein formalism. Due to the additional presence of the local Lorentz symmetry, beside the diffeomorphisms, we will include a local gravitational…

High Energy Physics - Theory · Physics 2007-05-23 S. Emery , O. Moritsch , M. Schweda , T. Sommer , H. Zerrouki

The existence of the vector supersymmetry is analysed within the context of the finite temperature Chern-Simons theory.

High Energy Physics - Theory · Physics 2007-05-23 D. G. G. Sasaki S. P. Sorella V. E. R. Lemes

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

Two closely related topological phenomena are studied at finite density and temperature. These are chiral anomaly and Chern-Simons term. By using different methods it is shown that $\mu^2 = m^2$ is the crucial point for Chern-Simons at zero…

High Energy Physics - Theory · Physics 2009-10-30 A. N. Sissakian , O. Yu. Shevchenko , S. B. Solganik

The temperature dependence of the order parameter of the Schwinger model is calculated in the euclidean functional integral approach. For that we solve the model on a finite torus and let the spatial extension tend to infinity at the end of…

High Energy Physics - Theory · Physics 2011-02-09 Ivo Sachs , Andreas Wipf

In this work we consider a model for gravity in 4-dimensional space-time originally proposed by A. Chamseddine which may be derived by a 5-dimensional Chern-Simons theory. Its topological origin makes it an interesting candidate for an…

General Relativity and Quantum Cosmology · Physics 2018-03-06 Bruno Neves

We investigate the gravitational anomaly vertex $\langle TTJ_5\rangle$ (graviton - graviton - axial current) under conditions of finite density and temperature. Through a direct analysis of perturbative contributions, we demonstrate that…

High Energy Physics - Theory · Physics 2024-04-10 Claudio Corianò , Mario Cretì , Stefano Lionetti , Riccardo Tommasi

In this article we review some of the recent advances regarding the charged vortex solutions in abelian and nonabelian gauge theories with Chern-Simons (CS) term in two space dimensions. Since these nontrivial results are essentially…

High Energy Physics - Theory · Physics 2011-03-28 Avinash Khare

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

The possibility of a Chern-Simons like term generation in an extended model of QED, in which a Lorentz and CPT non-covariant interaction term for fermions is present, has been investigated at finite temperature and in the presence of a…

High Energy Physics - Theory · Physics 2009-11-10 D. Ebert , V. Ch. Zhukovsky , A. S. Razumovsky

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

The commonly-known Chern-Simons extension of Einstein gravitational theory is written in terms of a square-curvature term added to the linear-curvature Hilbert Lagrangian. In a recent paper, we constructed two Chern-Simons extensions…

General Physics · Physics 2021-03-16 Luca Fabbri

In (2+1) dimensions, the Maxwell term $-(1/4) F_{\alpha\beta}F^{\alpha\beta}$ can be replaced by the Chern-Simons three-form $(\kappa/4)\epsilon^{\alpha\beta\gamma}A_\alpha F_{\beta\gamma}$, yielding a novel type of `electromagnetism'. This…

High Energy Physics - Theory · Physics 2011-04-15 C. Duval , P. A. Horvathy

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