Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2007-04-24
JHEP 0705:091,2007
Physics
High Energy Physics
High Energy Physics - Theory
22 pages, 14 figures, (v2) some typos corrected
Scientific paper
10.1088/1126-6708/2007/05/091
We study thermodynamical properties of a fuzzy sphere in matrix quantum mechanics of the BFSS type including the Chern-Simons term. Various quantities are calculated to all orders in perturbation theory exploiting the one-loop saturation of the effective action in the large-N limit. The fuzzy sphere becomes unstable at sufficiently strong coupling, and the critical point is obtained explicitly as a function of the temperature. The whole phase diagram is investigated by Monte Carlo simulation. Above the critical point, we obtain perfect agreement with the all order results. In the region below the critical point, which is not accessible by perturbation theory, we observe the Hagedorn transition. In the high temperature limit our model is equivalent to a totally reduced model, and the relationship to previously known results is clarified.
Kawahara Naoyuki
Nishimura Jun
Takeuchi Shingo
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