O'Connor, Denjoe and Ydri, Badis (2006) Monte Carlo Simulation of a NC Gauge Theory on the Fuzzy Sphere. Journal of High Energy Physics, 2006 (11). 016016. ISSN 10298479

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Abstract
We find using Monte Carlo simulation the phase structure of noncommutative U(1) gauge theory in two dimensions with the fuzzy sphere S^2_N as a nonperturbative regulator. There are three phases of the model. i) A matrix phase where the theory is essentially SU(N) YangMills reduced to zero dimension. ii) A weak coupling fuzzy sphere phase with constant specific heat and iii) A strong coupling fuzzy sphere phase with nonconstant 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 oneloop 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.
Item Type:  Article 

Divisions:  School of Theoretical Physics > Preprints 
Date Deposited:  05 Oct 2017 19:31 
Last Modified:  16 Jul 2018 10:59 
URI:  http://dair.dias.ie/id/eprint/194 
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