Vector meson masses in two-dimensional SU(NC) lattice gauge theory with massive quarks**Supported by Natural Science Foundation of the Education Department of Guangdong Province of China (06Z027) and Professor Foundation of Guangdong Education Institute

Abstract

Using an improved lattice Hamiltonian with massive Wilson quarks a variational method is applied to study the dependence of the vector meson mass MV on the quark mass m and the Wilson parameter r in two-dimensional SU(NC) lattice gauge theory. The numerical results show that for NC = 2, 3, 4, 5, 6, 7, …, in the scaling window 1 ⩽ 1/g2 ⩽ 2, MV/g is approximately linear in m, but MV/g obviously does not depend on r (this differs from the quark condensate). Particularly for m → 0 our numerical results agree very well with Bhattacharya's analytical strong coupling result in the continuum, and the value of (∂MV/∂m)|m=0 in two-dimensional SU(NC) lattice gauge theory is very close to that in Schwinger model.