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Point particles in 3D gravity are known to behave as topological defects, while gravitational field can be expressed as the Chern-Simons theory of the appropriate local isometry group of spacetime. In the case of the Poincar\'e group,…

High Energy Physics - Theory · Physics 2018-02-06 Tomasz Trześniewski

Within the context of a Chern-Simons running-vacuum-model (RVM) cosmology, one expects an early-matter dominated (eMD) reheating period after RVM inflation driven by the axion field. Treating thus in this work Chern-Simons RVM cosmology as…

General Relativity and Quantum Cosmology · Physics 2024-11-22 Charalampos Tzerefos , Theodoros Papanikolaou , Spyros Basilakos , Emmanuel N. Saridakis , Nick E. Mavromatos

We present new proposals for the representation of a Chern-Simons term on the lattice. In the first part, such a term is constructed from the fermion determinant, and in the second part directly from the Abelian gauge term. In both cases,…

High Energy Physics - Lattice · Physics 2009-11-07 W. Bietenholz , J. Nishimura , P. Sodano

A gauge invariant quantum field theory with a spacetime dependent Chern-Simons coefficient is studied. Using a constraint formalism together with the Schwinger action principle it is shown that non-zero gradients in the coefficient induce…

High Energy Physics - Theory · Physics 2009-10-28 Mark Burgess

Gravitational parity violation is a possibility motivated by particle physics, string theory and loop quantum gravity. One effect of it is amplitude birefringence of gravitational waves, whereby left and right circularly-polarized waves…

General Relativity and Quantum Cosmology · Physics 2011-05-04 Nicolas Yunes , Richard O'Shaughnessy , Benjamin J. Owen , Stephon Alexander

We compute the gravitational Chern-Simons term explicitly for an adiabatic family of metrics using standard methods in general relativity. We use the fact that our base three-manifold is a quasi-regular K-contact manifold heavily in this…

Mathematical Physics · Physics 2015-05-18 Brendan McLellan

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

Recent results on zero modes of the Abelian Dirac operator in three dimensions support to some degree the conjecture that the Chern-Simons action admits only certain quantized values for gauge fields that lead to zero modes of the…

High Energy Physics - Theory · Physics 2009-11-07 C. Adam , B. Muratori , C. Nash

Dynamical Chern-Simons (DCS) gravity, a typical parity-violating gravitational theory, modifies both the generation and propagation of gravitational waves from general relativity (GR). In this work, we derive the gravitational waveform…

General Relativity and Quantum Cosmology · Physics 2024-05-24 Zhao Li , Jin Qiao , Tan Liu , Rui Niu , Shaoqi Hou , Tao Zhu , Wen Zhao

The use of the physical variables in the fashion of Dirac in the three-dimensional Chern-Simons theories is presented. Our previous results are reinterpreted in a new aspect.

High Energy Physics - Theory · Physics 2007-05-23 Mu-In Park

A generalization of Chern-Simons gauge theory is formulated in any dimension and arbitrary gauge group where gauge fields and gauge parameters are differential forms of any degree. The quaternion algebra structure of this formulation is…

High Energy Physics - Theory · Physics 2017-05-31 Alessandro D'Adda , Noboru Kawamoto , Naoki Shimode , Takuya Tsukioka

We show that a spin-$5/2$ field can be consistently coupled to gravitation without cosmological constant in five-dimensional spacetimes. The fermionic gauge "hypersymmetry" requires the presence of a finite number of additional fields,…

High Energy Physics - Theory · Physics 2020-07-01 Oscar Fuentealba , Javier Matulich , Ricardo Troncoso

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

Non-Abelian gauge theories "live" in a space-time with non-trivial topology that can be characterized by an odd-dimensional Chern-Simons form. In QCD, Chern-Simons form is induced by the chiral anomaly and the presence of topological…

High Energy Physics - Phenomenology · Physics 2009-11-18 Dmitri E. Kharzeev

Chern-Simons modified gravity is a string-theory and loop-quantum-gravity inspired effective theory that modifies General Relativity by adding a parity-violating Pontryagin density to the Einstein-Hilbert action multiplied by a coupling…

General Relativity and Quantum Cosmology · Physics 2010-04-15 Nicolas Yunes , David N. Spergel

When 4-dimensional general relativity is extended by a 3-dimensional gravitational Chern-Simons term an apparent violation of diffeormorphism invariance is extinguished by the dynamical equations of motion for the modified theory. The…

General Relativity and Quantum Cosmology · Physics 2017-08-23 R. Jackiw

We discuss the dynamics of the Dirac fermions in the general strong gravitational and electromagnetic fields. We derive the general Hermitian Dirac Hamiltonian and transform it to the Foldy-Wouthuysen representation for the spatially…

High Energy Physics - Theory · Physics 2011-08-08 Yuri N. Obukhov , Alexander J. Silenko , Oleg. V. Teryaev

This is intended as a broad introduction to Chern-Simons gravity and supergravity. The motivation for these theories lies in the desire to have a gauge invariant system --with a fiber bundle formulation-- in more than three dimensions,…

High Energy Physics - Theory · Physics 2008-03-21 Jorge Zanelli

Higher dimensional Chern-Simons theories, even though constructed along the same topological pattern as in 2+1 dimensions, have been shown recently to have generically a non-vanishing number of degrees of freedom. In this paper, we carry…

High Energy Physics - Theory · Physics 2009-10-30 Maximo Banados , Luis J. Garay , Marc Henneaux

Various applications of Chern-Simons theory in algebraic topology, in particular knot theory, condensed matter physics and cosmology are reviewed. Special attention is paid to appearances of Chern-Simons actions in the theory of the…

Mathematical Physics · Physics 2026-03-27 Jürg Fröhlich
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