APPLICATION OF THE HAMILTONIAN-FORMULATION OF PALUMBOS NEW LATTICE YANG-MILLS THEORY

The one-loop coefficients of Luscher's effective Hamiltonian are compu ted for an SU(2) Yang-Mills theory where the gauge-invariant regulariz ation was chosen according to Palumbo's noncompact lattice formulation . A comparison with the standard results yields an estimate of the err ors arising in Palumbo's framework due to the introduction of unphysic al auxiliary fields. In the continuum limit, which is possible and sen sible in Luscher's theory for small volumes, we recover Luscher's orig inal result if Palumbo's renormalization of the coupling to the auxili ary field is assumed.