Exact fuzzy sphere thermodynamics in matrix quantum mechanics

@misc{citeulike:1249441, abstract = {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.}, author = {Kawahara, Naoyuki and Nishimura, Jun and Takeuchi, Shingo }, citeulike-article-id = {1249441}, eprint = {0704.3183}, keywords = {matrix}, month = {Apr}, posted-at = {2007-04-25 06:34:59}, priority = {2}, title = {Exact fuzzy sphere thermodynamics in matrix quantum mechanics}, url = {http://arxiv.org/abs/0704.3183}, year = {2007} }

TY - ELEC ID - citeulike:1249441 L3 - citeulike-article-id:1249441 N2 - 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. TI - Exact fuzzy sphere thermodynamics in matrix quantum mechanics KW - matrix AU - Kawahara, Naoyuki AU - Nishimura, Jun AU - Takeuchi, Shingo PY - 2007/Apr/24/ UR - http://arxiv.org/abs/0704.3183 ER -