REVIEW 2 cited by
On the Non-Renormalization Properties of Gauge Theories with Chern-Simons Terms
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
abstract
Considering three-dimensional Chern-Simons theory, either coupled to matter or with a Yang-Mills term, we show the validity of a trace identity, playing the role of a local form of the Callan-Symanzik equation, in all orders of perturbation theory. From this we deduce the vanishing of the $\beta$-function associated to the Chern-Simons coupling constant and the full finiteness in the case of the Yang-Mills Chern-Simons theory. The main ingredient in the proof of the latter property is the noninvariance of the Chern-Simons form under the gauge transformations. Our results hold for the three-dimensional Chern-Simons model in a general Riemannian manifold.
Forward citations
Cited by 2 Pith papers
-
Charting the different phases of Yang-Mills-Chern-Simons-Higgs theories
In 3D Yang-Mills-Chern-Simons-Higgs theory the Gribov parameter fixed via gap equation reveals a confining phase with complex poles and a deconfined phase with physical gluon excitations.
-
Finiteness of the Yang-Mills-Chern-Simons action in linear covariant gauges by taking into account gauge copies
Adding Gribov-copy removal and condensates to three-dimensional Yang-Mills-Chern-Simons theory in linear covariant gauges leaves the theory finite at all orders.
Discussion (0). Continue with ORCID to comment.