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Monte Carlo Simulation of a NC Gauge Theory on The Fuzzy Sphere
| Content Provider | Semantic Scholar |
|---|---|
| Author | Connor, Denjoe O’ Ydri, Badis |
| Copyright Year | 2006 |
| Abstract | We find using Monte Carlo simulation the phase structure of noncommutative U(1) gauge theory in two dimensions with the fuzzy sphere SN as a non-perturbative regulator. There are three phases of the model. i) A matrix phase where the theory is essentially SU(N) Yang-Mills reduced to zero dimension . ii) A weak coupling fuzzy sphere phase with constant specific heat and iii) A strong coupling fuzzy sphere phase with non-constant specific heat. The order parameter distinguishing the matrix phase from the sphere phase is the radius of the fuzzy sphere. The three phases meet at a triple point. We also give the theoretical one-loop and 1 N expansion predictions for the transition lines which are in good agreement with the numerical data. A Monte Carlo measurement of the triple point is also given. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://arxiv.org/pdf/hep-lat/0606013v1.pdf |
| Alternate Webpage(s) | http://arxiv.org/pdf/hep-lat/0606013v2.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Arabic numeral 0 Byers-Yang theorem Dimensions Level of measurement Monte Carlo method Perturbation theory (quantum mechanics) Population Parameter Simulation The Matrix YANG |
| Content Type | Text |
| Resource Type | Article |
