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

@article{Giavarini1992ChernSimonsTA, 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}, year={1992}, volume={381}, pages={222-280} }

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

#### 56 Citations

The light-cone gauge, Chern-Simons theory and topologically massive Yang-Mills theory

- Physics
- 1994

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 defines… Expand

Algebraic Renormalization of N = 2 Supersymmetric Yang-Mills Chern-Simons Theory in the Wess-Zumino Gauge 1

- Physics
- 1995

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 obstructions… Expand

Abelian Chern-Simons theory as the strong large mass limit of topologically massive Abelian gauge theory: The Wilson loop

- Physics
- 1994

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 the… Expand

Topologically massive Yang–Mills theory and link invariants

- Physics, Mathematics
- 2014

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 decays… Expand

Chern-Simons States and Topologically Massive Gauge Theories

- Physics
- 1993

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 function… Expand

Two-loop finiteness of Chern–Simons theory in background field method

- Physics
- 1996

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 explicitly… Expand

CONFORMAL DIMENSIONS FROM TOPOLOGICALLY MASSIVE QUANTUM FIELD THEORY

- Physics
- 1996

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 obtained… Expand

An Algebraic Proof on the Finiteness of Yang–Mills–Chern–Simons Theory in D=3

- Mathematics, Physics
- 1999

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 the… Expand

Maxwell-Chern-Simons scalar electrodynamics at two loops

- Physics
- 1997

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 both… Expand

Cohomology and renormalization of BFYM theory in three dimensions

- Physics
- 1997

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 topological… Expand

#### References

SHOWING 1-10 OF 64 REFERENCES

Chern-Simons Perturbation Theory

- Physics, Mathematics
- 1991

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, the… Expand

Chern-Simons theory and geometric regularization

- Physics
- 1990

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 existence… Expand

Chern-Simons perturbation theory. II

- Mathematics, Physics
- 1994

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, the… Expand

Analysis of observables in Chern-Simons perturbation theory

- Physics
- 1993

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 out… Expand

Perturbative Chern-Simons theory in the light-cone gauge. The one-loop vacuum polarization tensor in a gauge-invariant formalism

- Physics
- 1992

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, we… Expand

Three-dimensional massive gauge theories

- Physics
- 1982

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 models… Expand

Topological quantum field theory

- Physics
- 1988

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 in… Expand

Chern-Simons theory in the Schrödinger representation

- Physics
- 1989

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 determine… Expand

Quantum field theory and the Jones polynomial

- Mathematics
- 1989

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 Jones… Expand

The Chern-Simons theory and knot polynomials

- Mathematics
- 1989

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 equation… Expand