English

Physically meaningful and not so meaningful symmetries in Chern-Simons theory

High Energy Physics - Theory 2011-07-19 v1

Abstract

We explicitly show that the Landau gauge supersymmetry of Chern-Simons theory does not have any physical significance. In fact, the difference between an effective action both BRS invariant and Landau supersymmetric and an effective action only BRS invariant is a finite field redefinition. Having established this, we use a BRS invariant regulator that defines CS theory as the large mass limit of topologically massive Yang-Mills theory to discuss the shift kk+\cvk \to k+\cv of the bare Chern-Simons parameter kk in conncection with the Landau supersymmetry. Finally, to convince ourselves that the shift above is not an accident of our regularization method, we comment on the fact that all BRS invariant regulators used as yet yield the same value for the shift.

Keywords

Cite

@article{arxiv.hep-th/9305021,
  title  = {Physically meaningful and not so meaningful symmetries in Chern-Simons theory},
  author = {G. Giavarini and C. P. Martin and F. Ruiz Ruiz},
  journal= {arXiv preprint arXiv:hep-th/9305021},
  year   = {2011}
}

Comments

phyzzx, 21 pages, 2 figures in one PS file