CONTINUUM-LIMIT OF EXACTLY SOLVABLE HAMILTONIAN IN LATTICE GAUGE-THEORY

We investigate the modified lattice gauge Hamiltonian proposed by Guo, Zheng, and Liu, whose vacuum wave function is known exactly. The result strongly suggests that the Hamiltonian does not have the correct continuum limit in either (2 + 1)-dimensional or (3 + 1)-dimensional space-time. We also show that the modified Hamiltonian cannot be improved so as to make its difference from the standard Kogut-Susskind Hamiltonian negligible in the continuum limit under the condition that its exact vacuum wave function is the product of the functions of a single plaquette variable.