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Vector meson masses in two-dimensional SU(NC) lattice gauge theory with massive quarks
Authors:JIANG Jun-Qin
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 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 ((e)Mv/(e)m) |mm=0 in two-dimensional SU(NC) lattice gauge theory is very close to that in Schwinger model.
Keywords:SU(NC) lattice gauge theory  Wilson quark  improved Hamiltonian  vector meson mass  masses  meson mass  Vector  massive  gauge theory  model  value  analytical  strong coupling  numerical results  continuum  quark condensate  linear  improved  lattice  Hamiltonian  variational method  study  dependence  vector
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