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We investigate the covariant formulation of Chern-Simons theories in a general odd dimension which can be obtained by introducing a vacuum connection field as a reference. Field equations, Noether currents and superpotentials are computed…

高能物理 - 理论 · 物理学 2008-11-26 A. Borowiec , L. Fatibene , M. Ferraris , M. Francaviglia

Radiative corrections arising from the axial coupling of charged fermions to a constant vector b_\mu can induce a Lorentz- and CPT-violating Chern-Simons term in the QED action. We calculate the exact one-loop correction to this term…

高能物理 - 理论 · 物理学 2009-10-31 M. Perez-Victoria

We study the hydrodynamic limit of the Chern--Simons--Higgs system, a relativistic gauge field model involving the Chern--Simons interaction. We introduce a single scaling parameter capturing both the non-relativistic (infinite speed of…

偏微分方程分析 · 数学 2026-04-10 Jeongho Kim , Bora Moon

We discuss Stochastic Quantization of $d$=3 dimensional non-Abelian Chern-Simons theory. We demonstrate that the introduction of an appropriate regulator in the Langevin equation yields a well-defined equilibrium limit, thus leading to the…

高能物理 - 理论 · 物理学 2015-06-26 L. F. Cugliandolo , G. L. Rossini , F. A. Schaposnik

In the generalized Pauli-Villars regularization of chiral gauge theory proposed by Frolov and Slavnov , it is important to specify how to sum the contributions from an infinite number of regulator fields. It is shown that an explicit sum of…

高能物理 - 理论 · 物理学 2009-10-28 Kazuo Fujikawa

Four-dimensional quantum field theories generally require regularization to be well defined. This can be done in various ways, but here we focus on Pauli--Villars (PV) regularization and apply it to nonperturbative calculations of bound…

高能物理 - 唯象学 · 物理学 2011-03-10 J. R. Hiller

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…

高能物理 - 唯象学 · 物理学 2009-11-18 Dmitri E. Kharzeev

We study the manifestly covariant three-dimensional symmetric Chern-Simons action in terms of the Batalin-Vilkovisky quantization method. We find that the Lorentz covariant gauge fixed version of this action is reduced to the usual…

高能物理 - 理论 · 物理学 2007-05-23 Won Tae Kim , Chang-Yeong Lee , Dong Won Lee

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…

高能物理 - 理论 · 物理学 2009-10-31 L. D. Paniak

We compute the parity violating three point amplitudes with one scalar leg in higher spin gravity and compare results with those of Chern-Simons matter theories. The three-point correlators of the free boson, free fermion, critical vector…

高能物理 - 理论 · 物理学 2017-09-13 Ergin Sezgin , Evgeny D. Skvortsov , Yaodong Zhu

It is well known that Chern-Simons Theories are in the constrained systems and their total Hamiltonians become identically zero, because of their gauge invariance. While treating the constraints quantum mechanially, it will be expected taht…

高能物理 - 理论 · 物理学 2013-02-25 M. Nakamura

Chern-Simons modified gravity is an effective extension of general relativity that captures leading-order, gravitational parity violation. Such an effective theory is motivated by anomaly cancelation in particle physics and string theory.…

高能物理 - 理论 · 物理学 2015-05-13 Stephon Alexander , Nicolas Yunes

We consider the holographic renormalization group (RG) flow in three dimensional gravity with the gravitational Chern-Simons term coupled to some scalar fields. We apply the canonical approach to this higher derivative case and employ the…

高能物理 - 理论 · 物理学 2014-11-20 Kyosuke Hotta , Yoshifumi Hyakutake , Takahiro Kubota , Takahiro Nishinaka , Hiroaki Tanida

A covariant quantization scheme employing reducible representations of canonical commutation relations with positive-definite metric and Hermitian four-potentials is tested on the example of quantum electrodynamic fields produced by a…

高能物理 - 理论 · 物理学 2014-11-18 Marek Czachor , Jan Naudts

In the standard electroweak theory that describes nature, the Chern-Simons number associated with the vacua as well as the unstable sphaleron solutions play a crucial role in the baryon number violating processes. We recall why the…

高能物理 - 理论 · 物理学 2016-11-18 S. -H. Henry Tye , Sam S. C. Wong

We comment on various aspects of the the dynamics of 3d N=2 Chern-Simons gauge theories and their possible phases. Depending on the matter content, real masses and FI parameters, there can be non-compact Higgs or Coulomb branches, compact…

高能物理 - 理论 · 物理学 2015-06-15 Kenneth Intriligator , Nathan Seiberg

We present a relationship between noncommutativity and higher order time derivative theories using a method perturbative. We introduce a generalization of the Chern-Simons Quantum Mechanics for higher order time derivatives. This model…

高能物理 - 理论 · 物理学 2015-06-17 Oscar Sánchez-Santos , José David Vergara

We perform two-loop calculation of Chern-Simons in background field method using the hybrid regularization of higher-covariant derivative and dimensional regularization. It is explicitly shown that Chern-Simons field theory is finite at the…

高能物理 - 理论 · 物理学 2009-10-30 M. Chaichian , W. F. Chen

The Pauli-Villars regularization scheme is often used for evaluating parton distributions within the framework of the chiral quark soliton model with inclusion of the vacuum polarization effects. Its simplest version with a single…

高能物理 - 唯象学 · 物理学 2009-10-31 T. Kubota , M. Wakamatsu , T. Watabe

By analyzing the odd parity part of the gauge field two and three point vertex functions, the one-loop radiative correction to the Chern-Simons coefficient is computed in noncommutative Chern-Simons-Higgs model at zero and at high…

高能物理 - 理论 · 物理学 2009-11-10 L. C. T. de Brito , M. Gomes , Silvana Perez , A. J. da Silva