Quark Condensate in Two-Dimensional SU(N_C) Lattice Gauge Theory with Massive Wilson Quarks

Abstract: Using the improved lattice Hamiltonian with massive Wilson quark and the variational method, we study the quark mass m_q and the Wilson parameter r dependences of the quark condensate 〈ψψ〉in the two-dimensional SU(N_C) lattice gauge theory. The numerical results show that when r is given, for N_C=2,3,4,5,6,7, the value of 〈ψψ〉_suba/(gN_C^3/2) decreases as m_q increases. For N_C>3, when m_q is small, 〈ψψ〉_suba/(gN_C^3/2) is almost independent of r; when m_q is large, 〈ψψ〉_suba/(gN_C^3/2)increases with increasing r. Particularly, when m_q→0, our numerical results agree very well with Zhitnitsky's analytical weak coupling result in the continuum, which implys that our numerical results in the case of m_q≠0 are reliable.