Vector Meson Masses in Two-dimensional SU(NC) Lattice Gauge Theory with Massive Quarks
- Received Date: 2007-02-06
- Accepted Date: 2007-05-30
- Available Online: 2008-01-05
Abstract: Using the improved lattice Hamiltonian with massive Wilson quarks and the variational method, we study the quark mass m and the Wilson parameter r dependence of the vector meson mass MV in the two-dimensional SU(NC) lattice gauge theory. The numerical results show that for NC = 2,3,4,5,6,7,…,in the scaling window , MV/g is approximatively linear with m, but MV/g isn’t obviously dependent on r (this differs from the quark condensate). Particularly, when ,our numerical results agree very well with Bhattacharya’s analytical strong coupling result in the continuum, and the value of in two-dimensional SU(NC) lattice gauge theory is very close to that in Schwinger model.