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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…

广义相对论与量子宇宙学 · 物理学 2009-11-07 Chopin Soo

A simplified model for a planet's atmosphere as an open two-dimensional Chern-Simons system is presented. The dynamical variables describe an ideal gas by its velocity, mass density, temperature and pressure. Radiation exchange, diffusion…

大气与海洋物理 · 物理学 2021-05-26 Martín Jacques-Coper , Valentina Ortiz , Jorge Zanelli

We study 2D Maxwell-dilaton gravity with higher order corrections given by the Chern-Simons term. The model admits three distinctive $AdS_2$ vacuum solutions. By making use of the entropy function formalism we find the entropy of the…

高能物理 - 理论 · 物理学 2010-04-21 Mohsen Alishahiha , Reza Fareghbal , Amir E. Mosaffa

Five dimensional Chern-Simons theory with (anti-)de Sitter SO(1,5) or SO(2,4) gauge invariance presents an alternative to General Relativity with cosmological constant. We consider the zero-modes of its Kaluza-Klein compactification to four…

广义相对论与量子宇宙学 · 物理学 2017-03-08 Ivan Morales , Bruno Neves , Zui Oporto , Olivier Piguet

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…

高能物理 - 理论 · 物理学 2013-10-03 Van Sérgio Alves , B. Charneski , M. Gomes , Leonardo Nascimento , Francisco Peña

The construction of self-dual vortex solutions to the Chern-Simons-Higgs model (with a suitable eighth-order potential) coupled to Einstein gravity in (2 + 1) dimensions is reconsidered. We show that the self-duality condition may be…

广义相对论与量子宇宙学 · 物理学 2009-10-28 Gérard Clément

This paper presents a new perspective on integrability in theories of gravity. We show how the stationary, axisymmetric sector of General Relativity can be described by the boundary dynamics of a four-dimensional Chern-Simons theory. This…

高能物理 - 理论 · 物理学 2024-10-11 Lewis T. Cole , Peter Weck

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…

高能物理 - 理论 · 物理学 2011-04-15 C. Duval , P. A. Horvathy

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…

广义相对论与量子宇宙学 · 物理学 2021-07-07 Joao Magueijo

A general non-relativistic field theory on the plane with couplings to an arbitrary number of abelian Chern-Simons gauge fields is considered. Elementary excitations of the system are shown to exhibit fractional and mutual statistics. We…

高能物理 - 理论 · 物理学 2009-10-22 Chanju Kim , Choonkyu Lee , Pyungwon Ko , Bum-Hoon Lee , Hyunsoo Min

Solutions pertaining to a Kerr black hole with a flat horizon undergoing gradual rotation are explored in the context of gravitational theories modified by dynamical Chern-Simons terms with cylindrical metrics, which approach asymptotically…

广义相对论与量子宇宙学 · 物理学 2023-11-16 G. G. L. Nashed , Kazuharu Bamba

We show that for four-dimensional spacetimes with a non-null hypersurface orthogonal Killing vector and for a Chern-Simons (CS) background (non-dynamical) scalar field, which is constant along the Killing vector, the source-free equations…

高能物理 - 理论 · 物理学 2014-11-20 Haji Ahmedov , Alikram N. Aliev

We present cosmological solutions from the dimensionally reduced Chern-Simons term and obtain the smooth transition solution from the decelerated phase (AdS) to the accelerated phase (dS).

广义相对论与量子宇宙学 · 物理学 2009-05-12 Wontae Kim , Edwin J. Son

A formulation of classical electrodynamics on an energy-momentum background of constant, non-zero curvature is given. The procedure consists of taking the formulation of standard electrodynamics in the energy-momentum representation, and…

综合物理 · 物理学 2020-01-01 Boris Ivetić

The Lorentz- and CPT-violating Chern-Simons extension of electrodynamics is considered. In the context of N=4 supergravity in four spacetime dimensions, it is argued that cosmological solutions can generate this extension. Within…

高能物理 - 理论 · 物理学 2016-11-09 Ralf Lehnert

We present a (2+1)-dimensional gauged $O(3) \sigma$-model with an Abelian Chern--Simons term. It shows topologically stable, anyonic vortices as classical solutions. The fields are studied in the case of rotational symmetry and analytic…

高能物理 - 理论 · 物理学 2008-02-03 J. Gladikowski

We consider an alternative quantization of the electromagnetic field around the Chern-Simons state $\psi_{CS}$ which is a zero energy solution of quantum electrodynamics. The solution determines a stochastic process which is a random…

高能物理 - 理论 · 物理学 2025-04-07 Z. Haba

We analyze (2+1)-dimensional gravity with a Chern--Simons term and a negative cosmological constant, primarily at the weak field level. The full theory is expressible as the sum of two higher derivative SL(2,R) "vector" Chern-Simons terms,…

高能物理 - 理论 · 物理学 2010-04-28 S. Carlip , S. Deser , A. Waldron , D. K. Wise

The Chern-Simons approach has been widely used to explain fractional quantum Hall states in the framework of trial wave functions. In the present paper, we generalise the concept of Chern-Simons transformations to systems with any number of…

介观与纳米尺度物理 · 物理学 2014-11-20 W. Beugeling , M. O. Goerbig , C. Morais Smith

Cosmic strings are considered in two types of gauged sigma models, which generalize the gravitating Abelian Higgs model. The two models differ by whether the U(1) kinetic term is of the Maxwell or Chern-Simons form. We obtain the…

广义相对论与量子宇宙学 · 物理学 2009-11-10 Y. Verbin , S. Madsen , A. L. Larsen