Quantum Equivalence of NC and YM Gauge Theories in 2 D and Matrix Theory
| dc.creator | Ydri, Badis | |
| dc.date | 2007-01-08 | |
| dc.date.accessioned | 2026-07-07T10:22:21Z | |
| dc.date.available | 2026-07-07T10:22:21Z | |
| dc.description | We construct noncommutative U(1) gauge theory on the fuzzy sphere S^2_N as a unitary 2N x 2N matrix model. In the quantum theory the model is equivalent to a nonabelian U(N) Yang-Mills theory on a 2 dimensional lattice with 2 plaquettes. This equivalence holds in the " fuzzy sphere" phase where we observe a 3rd order phase transition between weak-coupling and strong-coupling phases of the gauge theory. In the ``matrix'' phase we have a U(N) gauge theory on a single point. | |
| dc.description | 13 pages, one graph | |
| dc.identifier | https://arxiv.org/abs/hep-th/0701057 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0701057 | |
| dc.identifier | Phys.Rev.D75:105008,2007 | |
| dc.identifier | doi:10.1103/PhysRevD.75.105008 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/175488 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Quantum Equivalence of NC and YM Gauge Theories in 2 D and Matrix Theory | |
| dc.type | text |