Quark Condensate in Two-Dimensional SU(N<SUB>C</SUB>) Lattice Gauge Theory with Massive Wilson Quarks

JIANG Jun-Qin

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《中国物理C》（英文）编辑部

2024年10月30日

Chinese Physics C> 2007, Vol. 31> Issue(1) : 19-22

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

JIANG Jun-Qin ^,

Department of Physics，Guangdong Institute of Education, Guangzhou 510303, China

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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.

References

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[1]	JIANG Jun-Qin . Vector Meson Masses in Two-dimensional SU(NC) Lattice Gauge Theory with Massive Quarks. Chinese Physics C, 2008, 32(1): 9-12. doi: 10.1088/1674-1137/32/1/002
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[6]	JIANG JunQin . Study of the Vacuum State for 2+1 Dimensional SU(2) Lattice Gauge Field Theory. Chinese Physics C, 2000, 24(10): 922-926.
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JIANG Jun-Qin. Quark Condensate in Two-Dimensional SU(N_C) Lattice Gauge Theory with Massive Wilson Quarks[J]. Chinese Physics C, 2007, 31(1): 19-22.

JIANG Jun-Qin. Quark Condensate in Two-Dimensional SU(N_C) Lattice Gauge Theory with Massive Wilson Quarks[J]. Chinese Physics C, 2007, 31(1): 19-22. shu

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Received: 2006-03-24
Revised: 2006-07-02

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

JIANG Jun-Qin ^,

Corresponding author: JIANG Jun-Qin,

Department of Physics，Guangdong Institute of Education, Guangzhou 510303, China

Received Date: 2006-03-24
Accepted Date: 2006-07-02
Available Online: 2007-01-05

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.

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

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

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

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

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