Vector meson masses in two-dimensional SU(Nc) lattice gauge theory with massive quarks

Using an improved lattice Hamiltonian with massive Wilson quarks a variational method is applied to study the dependence of the vector meson mass M-v on the quark mass m and the Wilson parameter r in two-dimensional SU(N-c) lattice gauge theory. The numerical results show that for Nc = 2, 3, 4, 5, 6, 7, ..., in the scaling window 1 <= 1/g(2) <= 2, M-v/g is approximately linear in m, but M-v/g obviously does not depend on r (this differ's 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 (partial derivative M-v/partial derivative m) vertical bar(m=0) in two-dimensional SU(N-c) lattice gauge theory is very close to that in Schwinger model.