Renormalization of current algebra
| dc.creator | Mickelsson, Jouko | |
| dc.date | 1993-11-29 | |
| dc.date.accessioned | 2026-07-07T04:19:52Z | |
| dc.date.available | 2026-07-07T04:19:52Z | |
| dc.description | In this talk I want to explain the operator substractions needed to renormalize gauge currents in a second quantized theory. The case of space-time dimensions $3+1$ is considered in detail. In presence of chiral fermions the renormalization effects a modification of the local commutation relations of the currents by local Schwinger terms. In $1+1$ dimensions on gets the usual central extension (Schwinger term does not depend on background gauge field) whereas in $3+1$ dimensions one gets an anomaly linear in the background potential. We extend our method to the spatial components of currents. Since the bose-fermi interaction hamiltonian is of the form $j^k A_k$ (in the temporal gauge) we get a new renormalization scheme for the interaction. The idea is to define a field dependent conjugation for the fermi hamiltonian in the one-particle space such that after the conjugation the hamiltonian can be quantized just by normal ordering prescription. | |
| dc.description | 12pp, talk at the meeting "Generalized symmetries in physics", Clausthal, July 1993 | |
| dc.identifier | https://arxiv.org/abs/hep-th/9311170 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9311170 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/53745 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Renormalization of current algebra | |
| dc.type | text |