Based on the explicit expressions of the plaquette formulations, the independent plaquette trial action for 4-dimensional lattice gauge theory is introduced. As an example, the mean plaquette energy EP for the SU(2) l...Based on the explicit expressions of the plaquette formulations, the independent plaquette trial action for 4-dimensional lattice gauge theory is introduced. As an example, the mean plaquette energy EP for the SU(2) lattice gauge theory is calculated by using action variational approach with the independent trial action. The results are in good agreement with the Monte Carlo results in the strong coupling and the crossover region, and the curve is smooth in the whole region, which show that 4-dimensional SU(2) theory has only a single, confining phase. The unwanted discontinuity of EP given by the single link trial action, which is used in the earlier variational calculations has been avoided.展开更多
Applying the systematic method about how to get the discrete counterparts of continuous system given by K. Wu et al., we define the discrete analogue of Ehresmann connections, Cartan connections, and affine connection...Applying the systematic method about how to get the discrete counterparts of continuous system given by K. Wu et al., we define the discrete analogue of Ehresmann connections, Cartan connections, and affine connections in the sense of Koszul and Levi-Civita, and prove some basic properties.展开更多
文摘Based on the explicit expressions of the plaquette formulations, the independent plaquette trial action for 4-dimensional lattice gauge theory is introduced. As an example, the mean plaquette energy EP for the SU(2) lattice gauge theory is calculated by using action variational approach with the independent trial action. The results are in good agreement with the Monte Carlo results in the strong coupling and the crossover region, and the curve is smooth in the whole region, which show that 4-dimensional SU(2) theory has only a single, confining phase. The unwanted discontinuity of EP given by the single link trial action, which is used in the earlier variational calculations has been avoided.
基金National Natural Science Foundation of China under Grant No.10471143National Key Basic Research Project of China under Grant No.2004CB318001
文摘Applying the systematic method about how to get the discrete counterparts of continuous system given by K. Wu et al., we define the discrete analogue of Ehresmann connections, Cartan connections, and affine connections in the sense of Koszul and Levi-Civita, and prove some basic properties.
