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Mass-gap calculations in three-dimensional gauge theories are discussed. Also we present a Chern--Simons-like mass-generating mechanism which preserves parity and is realized non-perturbatively.

High Energy Physics - Theory · Physics 2014-11-18 R. Jackiw , S-Y. Pi

We study ${\cal N}=2$ Chern-Simons-matter theories with gauge group $U_{k_1}(1)\times U_{k_2}(1)$. We find that, when $k_1+k_2=0$, the partition function computed by localization dramatically simplifies and collapses to a single term. We…

High Energy Physics - Theory · Physics 2017-08-02 J. G. Russo , F. A. Schaposnik

We study axion electrodynamics, including the Chern-Simons interaction term, in the presence of parallel background electric and magnetic fields, as can for example occur in certain models of axion inflation and in the study of dyonic black…

High Energy Physics - Theory · Physics 2024-02-02 Saquib Hassan , John March-Russell , Georges Obied

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 propose a new, generic mechanism of inflation mediated by a balance between potential forces and a Chern-Simons interaction. Such quasi-topological interactions are ubiquitous in string theory. In the minisuperspace approximation, their…

High Energy Physics - Theory · Physics 2013-02-13 Emil Martinec , Peter Adshead , Mark Wyman

It was suggested that the massive Yang-Mills-Chern-Simons matrix model has three phases and that in one of them a non-Abelian gauge symmetry is dynamically generated. The analysis was at the one-loop level around a classical solution of…

High Energy Physics - Theory · Physics 2008-11-26 T. Aoyama , T. Kuroki , Y. Shibusa

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

We explore perturbations about a Friedmann-Robertson-Walker background in Chern-Simons gravity. At large momenta one of the two circularly polarized tensor modes becomes ghostlike. We argue that nevertheless the theory does not exhibit…

General Relativity and Quantum Cosmology · Physics 2013-05-30 Sergei Dyda , Eanna E. Flanagan , Marc Kamionkowski

Chern-Simons models for gravity are interesting because they provide with a truly gauge-invariant action principle in the fiber-bundle sense. So far, their main drawback has largely been the perceived remoteness from standard General…

High Energy Physics - Theory · Physics 2014-11-18 Fernando Izaurieta , Paul Minning , Alfredo Pérez , Eduardo Rodríguez , Patricio Salgado

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 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

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

Quasi-periodic quantum spin chains were recently found to support many topological phases in the finite magnetization sectors. They can simulate strong topological phases from class A in arbitrary dimension that are characterized by first…

Mesoscale and Nanoscale Physics · Physics 2020-10-14 Yifei Liu , Emil Prodan

The quantized magnetic flux $\Phi=-4\pi N\sk, N=0,\pm1,...$ of non-topological vortices in the non-relativistic Chern-Simons theory is related to the topological degree of the $S^2\to S^2$ mapping defined by lifting the problem to the…

High Energy Physics - Theory · Physics 2007-05-23 P. A. Horváthy

We examine the status of the Chern-Simons (or Kodama) state from the point of view of a formulation of gravity that uses only real connection and metric variables and a real action. We may package the {\it real} connection variables into…

General Relativity and Quantum Cosmology · Physics 2021-07-07 Joao Magueijo

Lorentz- and CPT-violating models of electrodynamics with Chern-Simons terms are typically plagued by various sorts of instabilities. However, when the Chern-Simons term arises from a slow time variation in a pseudoscalar field with an…

High Energy Physics - Theory · Physics 2020-08-11 Sapan Karki , Brett Altschul

We consider noncommutative gauge theory with Dirac or Majorana fermions in odd dimensional spacetime and compute the induced noncommutative Chern-Simons action generated at 1-loop. We observe that the Chern-Simons term induced by a Dirac…

High Energy Physics - Theory · Physics 2009-10-31 Chong-Sun Chu

Axion inflation models coupled to a gauge sector via a Chern-Simons term exhibit an array of interesting phenomenology including a chiral gravitational wave spectrum and primordial black hole production. They may also provide a useful…

Cosmology and Nongalactic Astrophysics · Physics 2025-11-13 Sukannya Bhattacharya , Matteo Fasiello , Alexandros Papageorgiou , Ema Dimastrogiovanni

We study the low energy effective field theory of fermions with electric and magnetic dipole moments at finite temperature. We find that at one loop there is an interaction term of the Chern-Simon form ${\cal L_I}=m_\mu\>A_\nu {\tilde…

High Energy Physics - Phenomenology · Physics 2016-09-01 Subhendra Mohanty , S. N. Nayak , Sarira Sahu

Gauge invariant topological interactions, such as the D=5 Chern-Simons terms, are required in models in extra dimensions that split anomaly free representations. The Chern-Simons term is necessary to maintain the overall anomaly…

High Energy Physics - Theory · Physics 2008-11-26 Christopher T. Hill