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摘要: 我们用SU(2)的正二十面体分立子群对SU(2)格点规范理论的正弦作用量与指数作用量进行了Monte Carlo模拟。发现由分立子群本身产生的一阶相变点分别在βc′≈9.2±0.2和βc′=6.8±0.2。对方格能量和比热所得的结果与用SU(2)群所得的结果一致。从而证实了对以上两种作用量,用分立子群代替连续群的适用性,为以后进行计算时利用分立子群提供了依据。
Abstract: Monte Carlo simulations of the SU(2) lattice gauge theory with SIN action and EXP action are performed by using the icosahetral subgroup. We obtain that the first order phase transition points due to the nature of discrete subgroup are βc′≈9.2±0.2 and βc′= 6.8±0.2 respectively. The plaquette energy and specific heat of present case are in good agreement with that of the SU(2) group. Therefor, we verify that for two kinds of actions mentioned above, using discrete subgroup instead of SU(2) group is reasonable and provides the foundation for further calculations by means of the icosahetral subgroup.