Vector Meson Masses in Two-dimensional SU(NC) Lattice Gauge Theory with Massive Quarks

JIANG Jun-Qin<SUP></SUP>

doi:10.1088/1674-1137/32/1/002

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2024年10月30日

Chinese Physics C> 2008, Vol. 32> Issue(1) : 9-12 DOI: 10.1088/1674-1137/32/1/002

Vector Meson Masses in Two-dimensional SU(NC) Lattice Gauge Theory with Massive Quarks

JIANG Jun-Qin

广东教育学院物理系

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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．

References

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JIANG Jun-Qin. Vector Meson Masses in Two-dimensional SU(NC) Lattice Gauge Theory with Massive Quarks[J]. Chinese Physics C, 2008, 32(1): 9-12. doi: 10.1088/1674-1137/32/1/002

JIANG Jun-Qin. Vector Meson Masses in Two-dimensional SU(NC) Lattice Gauge Theory with Massive Quarks[J]. Chinese Physics C, 2008, 32(1): 9-12. doi: 10.1088/1674-1137/32/1/002 shu

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Received: 2007-02-06
Revised: 2007-05-30

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Vector Meson Masses in Two-dimensional SU(NC) Lattice Gauge Theory with Massive Quarks

JIANG Jun-Qin

广东教育学院物理系

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．