An Approach to SU_q(2)p Gauge Theory
| dc.creator | Naka, S. | |
| dc.creator | Kinouchi, A. | |
| dc.creator | Toyoda, H. | |
| dc.date | 2007-11-21 | |
| dc.date.accessioned | 2026-07-07T08:44:13Z | |
| dc.date.available | 2026-07-07T08:44:13Z | |
| dc.description | In the usual approach to q-deformed gauge theories, the gauge fields are required to be non-local or non-commutative one's. If we introduce, however, an extended product, which we call `` $\star$-product\rq\rq, among the generators of a q-deformed Lie group, the deformed group can be reduced to a ordinary Lie group under the $\star$-product. According to this line of approach, we try to construct a $[SU_q(2)\times U(1)]_\star$, a $SU(2)\times U(1)$ analogue under the $\star$-product, gauge theory. In this gauge theory with the $\star$-product, the U(1) symmetry is naturally incorporated into the SU(2) symmetry. We also study the symmetry breaking by the Higgs mechanism associated with $J=1/2$ and J=1 representations of $SU_q(2)$ algebra, and show that the mixing angle between the SU(2) and U(1) gauge fields is determined uniquely in a tree level. | |
| dc.description | 12page,ptp | |
| dc.identifier | https://arxiv.org/abs/0711.3352 | |
| dc.identifier | http://arxiv.org/abs/0711.3352 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/142584 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | An Approach to SU_q(2)p Gauge Theory | |
| dc.type | text |