Quark condensate in two-dimensional SU(NC) lattice gauge theory with massive wilson quarks

Using the improved lattice Hamiltonian with massive Wilson quark and the variational method, the authors study the quark mass mq and the Wilson parameter r dependences of the quark condensate <ψ-barψ> in the two-dimensional SU(NC) lattice gauge theory. The numerical results show that when r is given, for NC=2, 3, 4, 5, 6, 7,..., the value of <ψ-barψ>sub a/(gNC3/2) decreases as mq increases. For NC>3, when mq is small, <ψ-barψ>sub a/(gNC3/2) is almost independent of r; when mq is large, <ψ-barψ>sub a/(gNC3/2) increases with increasing r. Particularly, when mq→0, our numerical results agree very well with Zhitnitsky's analytical weak coupling result in the continuum, which implies that our numerical results in the case of mq ≠ 0 are reliable. (authors)