Chern-Simons theory as the large-mass limit of topologically massive Yang-Mills theory

  title={Chern-Simons theory as the large-mass limit of topologically massive Yang-Mills theory},
  author={G. Giavarini and C. P. Mart́ın and Fernando Ru{\'i}z Ru{\'i}z},
  journal={Nuclear Physics},
Abstract We study quantum Chern-Simons theory as the large-mass limit of the limit D→3 of dimensionally regularized topologically massive Yang-Mills theory. This approach can also be interpreted as a BRS-invariant hybrid regularization of Chern-Simons theory, consisting of a higher-covariant derivative Yang-Mills term plus dimensional regularization. Working in the Landau gauge, we compute radiative corrections up to second order in perturbation theory and show that there is no two-loop… Expand
The light-cone gauge, Chern-Simons theory and topologically massive Yang-Mills theory
Abstract In this paper, we complete our study of one-loop perturbative Chern-Simons theory in the light-cone gauge n·Aa = 0, n2 = 0. Using a gauge-invariant regularization procedure, which definesExpand
Algebraic Renormalization of N = 2 Supersymmetric Yang-Mills Chern-Simons Theory in the Wess-Zumino Gauge 1
We consider a N = 2 supersymmetric Yang-Mills-Chern-Simons model, coupled to matter, in the Wess-Zumino gauge. The theory is characterized by a superalgebra which displays two kinds of obstructionsExpand
Abelian Chern-Simons theory as the strong large mass limit of topologically massive Abelian gauge theory: The Wilson loop
Abstract We show that the renormalized vacuum expectation value of the Wilson loop for topologically massive abelian gauge theory in R 3 can be defined so that its large-mass limit is theExpand
Topologically massive Yang–Mills theory and link invariants
Topologically massive Yang–Mills theory is studied in the framework of geometric quantization. Since this theory has a mass gap proportional to the topological mass m, Yang–Mills contribution decaysExpand
Chern-Simons States and Topologically Massive Gauge Theories
In an abelian topologically massive gauge theory, any eigenstate of the Hamiltonian can be decomposed into a factor describing massive propagating gauge bosons and a Chern-Simons wave functionExpand
Two-loop finiteness of Chern–Simons theory in background field method
Abstract 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 explicitlyExpand
We discuss the evaluation of observables in two-dimensional conformal field theory using the topological membrane description. We show that the spectrum of anomalous dimensions can be obtainedExpand
An Algebraic Proof on the Finiteness of Yang–Mills–Chern–Simons Theory in D=3
A rigorous algebraic proof of the full finiteness in all orders of perturbation theory is given for the Yang–Mills–Chern–Simons theory in a general three-dimensional Riemannian manifold. We show theExpand
Maxwell-Chern-Simons scalar electrodynamics at two loops
Abstract The Maxwell-Chern-Simons gauge theory with charged scalar fields is analyzed at two-loop level. The effective potential for the scalar fields is derived in the closed form, and studied bothExpand
Cohomology and renormalization of BFYM theory in three dimensions
Abstract The first-order formalism for the 3D Yang-Mills theory is considered and two different formulations are introduced, in which the gauge theory appears to be a deformation of the topologicalExpand


Chern-Simons Perturbation Theory
We study the perturbation theory for three dimensional Chern--Simons quantum field theory on a general compact three manifold without boundary. We show that after a simple change of variables, theExpand
Chern-Simons theory and geometric regularization
Abstract We analyze a regularization of Chern-Simons theory based on a geometrical interpretation of the functional integral in the covariant formalism. Perturbative calculations show the existenceExpand
Chern-Simons perturbation theory. II
We study the perturbation theory for three dimensional Chern--Simons quantum field theory on a general compact three manifold without boundary. We show that after a simple change of variables, theExpand
Analysis of observables in Chern-Simons perturbation theory
Abstract Chern-Simons theory with gauge group SU( N ) is analysed from a perturbation theory point of view. Computations up to order g 6 of the vacuum expectation value of the unknot are carried outExpand
Perturbative Chern-Simons theory in the light-cone gauge. The one-loop vacuum polarization tensor in a gauge-invariant formalism
Abstract Perturbative Chern-Simons (CS) theory, with gauge group SU( N ), is studied in the physical light-cone gauge n σ A σ a = 0, n 2 = 0. Using a gauge-invariant regularization procedure, weExpand
Three-dimensional massive gauge theories
Three-dimensional Yang-Mills and gravity theories augmented by gauge-invariant mass terms are analyzed. These topologically nontrivial additions profoundly alter the particle content of the modelsExpand
Topological quantum field theory
A twisted version of four dimensional supersymmetric gauge theory is formulated. The model, which refines a nonrelativistic treatment by Atiyah, appears to underlie many recent developments inExpand
Chern-Simons theory in the Schrödinger representation
Abstract We quantize the (2 + 1)-dimensional Chern-Simons theory in the functional Schrodinger representation. The realization of gauge transformations on states involves a 1-cocycle. We determineExpand
Quantum field theory and the Jones polynomial
It is shown that 2+1 dimensional quantum Yang-Mills theory, with an action consisting purely of the Chern-Simons term, is exactly soluble and gives a natural framework for understanding the JonesExpand
The Chern-Simons theory and knot polynomials
The Chern-Simons gauge theory is studied using a functional integral quantization. This leads to a differential equation for expectations of Wilson lines. The solution of this differential equationExpand