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Related papers: Chern-Simons term at finite density

200 papers

The restriction of space-time dimensions to "2+1" leads us to a novel quantum field theory which has the Chern-Simons term in its action. This term changes the nature of gauge interaction by giving a so-called topological mass to a gauge…

High Energy Physics - Theory · Physics 2007-05-23 Toyoki Matsuyama , Hideko Nagahiro

We present an alternative derivation of the parity anomaly for a massless Dirac field in 2+1 dimensions coupled to a gauge field. The anomaly functional, a Chern-Simons action for the gauge field, is obtained from the non-trivial Jacobian…

High Energy Physics - Theory · Physics 2009-10-31 M. L. Ciccolini , C. D. Fosco , F. A. Schaposnik

We develop a novel and systematic approach to computing the $(2n-1)$-form Chern-Simons potential given the Pontryagin density, i.e. the $n^{\text{th}}$ Chern character, in arbitrary even dimensions $D=2 n \geq 2$. Throughout we work with a…

Mathematical Physics · Physics 2025-09-22 Onur Ayberk Çakmak , Özgür Sarıoğlu

We discuss the comment by V.Zeitlin on our recent papers concerning Chern-Simons term generation at finite density.

High Energy Physics - Theory · Physics 2008-02-03 A. N. Sissakian , O. Yu. Shevchenko , S. B. Solganik

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 show that adding a vacuum expectation value to a gauge field left over from a dimensional reduction of three-dimensional pure supersymmetric Yang-Mills theory generates mass terms for the fundamental fields in the two-dimensional theory…

High Energy Physics - Theory · Physics 2009-09-24 U. Trittmann , S. Pinsky

We prove the universality of the Chern-Simons diffusion rate - a crucial observable for the chiral magnetic effect - in a large class of planar strongly correlated gauge theories with dual string description. When the effects of anomalies…

High Energy Physics - Theory · Physics 2018-12-05 Francesco Bigazzi , Aldo L. Cotrone , Flavio Porri

The set of degenerate ground states of an arbitrary nonabelian topologically massive gauge theory is shown to be in one-to-one correspondence with the Hilbert space of the associated pure Chern-Simons theory. (Paper is being withdrawn:…

High Energy Physics - Theory · Physics 2016-09-06 S. Carlip

The spontaneous magnetization in Chern-Simons QED_3 is discussed in a finite temperature system. The thermodynamical potential is analyzed within the weak field approximation and in the fermion massless limit. We find that there is a linear…

High Energy Physics - Theory · Physics 2016-09-06 Shinya Kanemura , Takao Matsushita

We obtain a Chern-Osserman type equality of a complete properly immersed surface in Euclidean space, provided the L^2-norm of the second fundamental form is finite. Also, by using a monotonicity formula, we prove that if the L^2-norm of…

Differential Geometry · Mathematics 2018-04-18 Qing Chen , Wenjie Yang

The Chern-Simons exact solution of four-dimensional quantum gravity with nonvanishing cosmological constant is presented in metric variable as the partition function of a Chern-Simons theory with nontrivial source. The perturbative…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Chopin Soo

We analyse the pure Chern-Simons theory on an Euclidean infinite lattice. We point out that, as a consequence of its symmetries, the Chern-Simons theory does not have an integrable kernel. Due to the linearity of the action in the…

High Energy Physics - Lattice · Physics 2009-10-31 F. Berruto , M. C. Diamantini , P. Sodano

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 verify the consistency of the G\"odel-type solutions within the four-dimensional Chern-Simons modified gravity with the non-dynamical Chern-Simons coefficient, for different forms of matter including dust, fluid, scalar field and…

High Energy Physics - Theory · Physics 2016-08-23 P. J. Porfirio , J. B. Fonseca-Neto , J. R. Nascimento , A. Yu. Petrov , J. Ricardo , A. F. Santos

We extend finite dimensional Chern-Simons theory to certain infinite dimensional principal bundles with connections, in particular to the frame bundle $FLM\to LM$ over the loop space of a Riemannian manifold $M$. Chern-Simons forms are…

Differential Geometry · Mathematics 2007-05-23 Steven Rosenberg , Fabian Torres-Ardila

Using Seiberg's definition for the geometric charge in SU(2) lattice gauge theory, we have managed to apply it also to the Chern-Simons term. We checked the periodic structure and determined the Chern-Simons density on small lattices $L^4$…

High Energy Physics - Lattice · Physics 2009-10-22 F. Karsch , M. L. Laursen , T. Neuhaus , B. Plache

It is shown that in all odd dimensional Chern-Simons theories states in which the torsion is non zero (but it can approach smoothly to zero outside suitable regions) do exist. Some possible observational effects related to neutrino…

General Relativity and Quantum Cosmology · Physics 2008-07-02 F. Canfora

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

In this thesis, topologically massive Yang-Mills theory is studied in the framework of geometric quantization. This theory has a mass gap that is proportional to the topological mass $m$. Thus, Yang-Mills contribution decays exponentially…

High Energy Physics - Theory · Physics 2018-01-18 Tuna Yildirim

The topological supersymmetry of the pure Chern-Simons model in three dimensions is established in the case where the theory is defined in the axial gauge.

High Energy Physics - Theory · Physics 2009-10-22 A. Brandhuber , M. Langer , M. Schweda , O. Piguet , S. P. Sorella