Finite temperature phase transition of a single scalar field on a fuzzy sphere

Understand

We study finite temperature phase transition of neutral scalar field on a fuzzy sphere using Monte Carlo simulations.

• We work with the zero mode in the temporal directions, while the effects of the higher modes are taken care by the temperature dependence of r.
• In the numerical calculations we use "pseudo-heatbath" method which reduces the auto-correlation considerably.
• Our results agree with the conventional calculations.