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 k {yields} k + c{sub v} of the bare Chern-Simons parameter k in connection 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. (orig.)
Giavarini, G;
[1]
Martin, C P;
[2]
Ruiz Ruiz, F
[3]
- Paris-7 Univ., 75 (France). Lab. de Physique Theorique et Hautes Energies
- Guelph Univ., ON (Canada). Dept. of Mathematics and Statistics
- Niels Bohr Inst., Copenhagen (Denmark)
Citation Formats
Giavarini, G, Martin, C P, and Ruiz Ruiz, F.
Physically meaningful and not so meaningful symmetries in Chern-Simons theory.
Netherlands: N. p.,
1993.
Web.
Giavarini, G, Martin, C P, & Ruiz Ruiz, F.
Physically meaningful and not so meaningful symmetries in Chern-Simons theory.
Netherlands.
Giavarini, G, Martin, C P, and Ruiz Ruiz, F.
1993.
"Physically meaningful and not so meaningful symmetries in Chern-Simons theory."
Netherlands.
@misc{etde_10153585,
title = {Physically meaningful and not so meaningful symmetries in Chern-Simons theory}
author = {Giavarini, G, Martin, C P, and Ruiz Ruiz, F}
abstractNote = {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 k {yields} k + c{sub v} of the bare Chern-Simons parameter k in connection 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. (orig.)}
place = {Netherlands}
year = {1993}
month = {Dec}
}
title = {Physically meaningful and not so meaningful symmetries in Chern-Simons theory}
author = {Giavarini, G, Martin, C P, and Ruiz Ruiz, F}
abstractNote = {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 k {yields} k + c{sub v} of the bare Chern-Simons parameter k in connection 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. (orig.)}
place = {Netherlands}
year = {1993}
month = {Dec}
}