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

@article{Giavarini1994AbelianCT,
  title={Abelian Chern-Simons theory as the strong large mass limit of topologically massive Abelian gauge theory: The Wilson loop},
  author={G. Giavarini and C. P. Mart́ın and Fernando Ru{\'i}z Ru{\'i}z},
  journal={Nuclear Physics},
  year={1994},
  volume={412},
  pages={731-747}
}
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 renormalized vacuum expectation value of the Wilson loop for abelian Chern-Simons theory also in R 3. 
3 Citations
Large-mass behaviour of loop variables in abelian Maxwell-Chern-Simons theory
The large-mass behaviour of loop variables in Maxwell-Chern-Simons theory is analysed by means of a gauge-field transformation which allows us to reset the Maxwell-Chern-Simons action to pureExpand
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
Abelian Chern-Simons-Maxwell theory from a tight-binding model of spinless fermions.
TLDR
It is shown how the Thirring model manifests itself in the low energy limit of a two-dimensional tight-binding model of spinless fermions, and for specific values of the couplings the model exhibits the confining (2+1)-dimensional QED phase or a topological ordered phase that corresponds to the Chern-Simons theory. Expand

References

SHOWING 1-10 OF 31 REFERENCES
Chern-Simons theory as the large-mass limit of topologically massive Yang-Mills theory
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 aExpand
On Wilson loops in Abelian Chern-Simons theories
Abstract We comment on different ways to define expectation values of Wilson loops in gauge theories of the Chern-Simons type, and show that by adding a kinetic term for the gauge field one isExpand
Abelian Chern-Simons theories on S3
Abstract We check by explicit computations on the sphere several features of Chern-Simons theories such as scale dependence of the partition function, reduction of topologically massive QED to pureExpand
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
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
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
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
FERMI-BOSE TRANSMUTATIONS INDUCED BY GAUGE FIELDS
We show that in (2+1)-dimensional abelian gauge theory with the Chern-Simons term in the action, charged particles reverse their statistics.
Renormalizability of phase factors in non-abelian gauge theory
The phase factor P exp(e∳C Aμ d xμ) = ψ(C) for Yang-Mills theory is studied. The renormalizability of this phase factor is proved.
The Slope of the Leading Regge Trajectory in Quantum Chromodynamics
The Wilson loop operator in quantum chromodynamics is interpreted as a string creation operator. A method is developed to study its renormalization properties. From the QCD Heisenberg equations ofExpand
...
1
2
3
4
...