Quantum Master Equation for QED in Exact Renormalization Group
| dc.creator | Igarashi, Yuji | |
| dc.creator | Itoh, Katsumi | |
| dc.creator | Sonoda, Hidenori | |
| dc.date | 2007-04-18 | |
| dc.date.accessioned | 2026-07-07T11:20:18Z | |
| dc.date.available | 2026-07-07T11:20:18Z | |
| dc.description | Recently, one of us (H.S.) gave an explicit form of the Ward-Takahashi identity for the Wilson action of QED. We first rederive the identity using a functional method. The identity makes it possible to realize the gauge symmetry even in the presence of a momentum cutoff. In the cutoff dependent realization, the abelian nature of the gauge symmetry is lost, breaking the nilpotency of the BRS transformation. Using the Batalin-Vilkovisky formalism, we extend the Wilson action by including the antifield contributions. Then, the Ward-Takahashi identity for the Wilson action is lifted to a quantum master equation, and the modified BRS transformation regains nilpotency. We also obtain a flow equation for the extended Wilson action. | |
| dc.description | 15 pages, no figure | |
| dc.identifier | https://arxiv.org/abs/0704.2349 | |
| dc.identifier | http://arxiv.org/abs/0704.2349 | |
| dc.identifier | Prog.Theor.Phys.118:121-134,2007 | |
| dc.identifier | doi:10.1143/PTP.118.121 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/193920 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Quantum Master Equation for QED in Exact Renormalization Group | |
| dc.type | text |