Quark Condensate in Two-Dimensional SU(NC) Lattice Gauge Theory with Massive Wilson Quarks |
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| Authors: | JIANG Jun-Qin |
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| Affiliation: | Department of Physics，Guangdong Institute of Education, Guangzhou 510303, China |
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| Abstract: | Using the improved lattice Hamiltonian with massive Wilson quark and the variational method, we study the quark mass mq and the Wilson parameter r dependences of the quark condensate 〈ψψ〉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 〈ψψ〉suba/(gNC3/2) decreases as mq increases. For NC>3, when mq is small, 〈ψψ〉suba/(gNC3/2) is almost independent of r; when mq is large, 〈ψψ〉suba/(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 implys that our numerical results in the case of mq≠0 are reliable. |
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