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

JIANG Jun-Qin

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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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.

References

[1]

. JIANG Jun-Qin, LUO Xiang-Qian et al. Phys. Rev., 1999,D60: 0145012. JIANG Jun-Qin, LUO Xiang-Qian, GUO Shuo-Hong et al.HEP NP, 1999, 23(12): 1152(in Chinese)(江俊勤, 罗向前, 郭硕鸿等. 高能物理与核物理, 1999, 23(12):1152)3. JIANG Jun-Qin, LI Jie-Ming. HEP NP, 2001, 25(7):617(in Chinese)(江俊勤, 李洁明. 高能物理与核物理, 2001, 25(7): 617);JIANG Jun-Qin. HEP NP, 2005, 29(2): 115(in Chinese)(江俊勤. 高能物理与核物理, 2005, 29(2):115)4. JIANG Jun-Qin, LI Jie-Ming. Phys. Rev., 2003, D68:0945025. 't Hooft G. Nucl. Phys., 1974, B72: 4616. Steinhardt P J. Nucl. Phys., 1980, B176: 1007. Bhattacharya G. Nucl. Phys., 1982, B205: 4618. Zhitnitsky A R. Phys. Lett., 1985, B165: 4059. LUO Xiang-Qian, CHEN Qi-Zhou. HEP NP, 1992,16(8): 676(in Chinese)(罗向前, 陈启洲. 高能物理与核物理, 1992, 16(8): 676)

[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
[2]	LI Xi-Guo , JIA Duo-Jie , GAO Yuan . Decomposition of the SU(2) Gauge Field and Circulation Condition of the Bose-Einstein Condensate. Chinese Physics C, 2003, 27(1): 12-14.
[3]	LIU Jin-Ming , LI Jie-Ming , GUO Shuo-Hong . Glueball Mass in Improved SU(3) Lattice Hamiltonian in 2+1 Dimensional. Chinese Physics C, 2001, 25(5): 383-387.
[4]	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.
[5]	Jiang Junqin , Luo Xiangqian , Guo Shuohong , Liu Jinming . Calculation of the Vacuum Wave Function in 2+1 Dimensional U(1) Gauge Theory by Using the Improved Lattice Hamiltonian. Chinese Physics C, 1999, 23(12): 1152-1157.
[6]	Hui Ping . Fifth Order Approximate Analytic Calculation of (2+1)-D SU(2) Vacuum Wavefunction. Chinese Physics C, 1998, 22(4): 322-325.
[7]	Chen Qizhou , Li Zhibing , Li Lei , Guo Shuohong . Infrared Vacuum Wavefunction of (2+1)-Dimensional SU(2) Gauge Field. Chinese Physics C, 1994, 18(1): 37-42.
[8]	LUO Xiang-Qian , CHEN Qi-Zhou . Fermion Condensates in Lower Dimensional Gauge Theories. Chinese Physics C, 1992, 16(8): 685-695.
[9]	ZHU Zheng-Kun , ZHANG Xiao-Ze , JIN Xing-Nan , SA Ben-Hao . IMPROVEMENT OF THERMODYNAMICAL MONTE CARLO SIMULATION IN SU(2) PURE GAUGE FIELD THEORY ——AN APPROACH TO CONTINUUM PHYSICS LIMIT. Chinese Physics C, 1989, 13(4): 339-345.
[10]	ZHENG Wei-Hong , GUO Shuo-Hong . THE VARIATIONAL CALCULATION OF MASS GAP IN 2+1 DIMENSIONAL SU(2) LGT. Chinese Physics C, 1989, 13(1): 83-86.
[11]	LUO Xiang-Qian , CHEN Qi-Zhou , GUO Shuo-Hong . VACUUM OF 2+1 DIMENSIONAL SU(2) LGT WITH FERMIONS AND SPONTANEOUS CHIRAL SYMMETRY BREAKING. Chinese Physics C, 1989, 13(4): 328-333.
[12]	ZHENG Wei-Hong , LIU Jin-Ming , GUO Shuo-Hong . THE MASS GAP IN 2+1 DIMENSIONAL SU(2) LATTICE GAUGE THEORY. Chinese Physics C, 1988, 12(1): 134-136.
[13]	SA Bei-Hao , ZHU Zheng-Kun , ZHANG Xiao-Ze , JIN Xing-Nan . THE EVIDENCE OF DECONFINEMENT PHASE TRANSITION OF SU(2) LATTICE GAUGE MODEL BY MONTE CARLO METHOD. Chinese Physics C, 1988, 12(5): 601-607.
[14]	CHEN Qi-Zhou , LI Zhi-Bing , HE Bao-Peng , LUO Xiang-Qian , GUO Shuo-Hong . THE WEAK INTERACTION MATRIX ELEMENTS OF │ΔS│=2 ON LATTICE. Chinese Physics C, 1988, 12(4): 459-464.
[15]	LIU Jin-Ming , ZHENG Wei-Hong , GUO Shuo-Hong . THE MASS GAP IN 2+1 DIMENSIONAL SU(3) LATTICE CAUGE THEORY. Chinese Physics C, 1988, 12(3): 420-424.
[16]	WU Ji-Min , ZHAO Pei-Ying . ANALYTIC CALCULATION FOR GLUON CONDENSATION IN SU (2) LATTICE GAUGE THEORY. Chinese Physics C, 1987, 11(1): 64-67.
[17]	CHEN Tian-Lun , SUO Cun-Chuan . VARIATIONAL ANALYSIS OF PHASE STRUCTURE OF THE SU(2) LATTICE GAUGE THEORY WITH AN ACTION INCLUDING SIX-LINK LOOPS. Chinese Physics C, 1986, 10(2): 158-163.
[18]	LI Wen-Zhu , DONG Shao-Jing . MONTE CARLO STUDY OF SU(3) LATTICE GAUGE THEORY FOR TWO ALTERANTIVE ACTIONS. Chinese Physics C, 1985, 9(4): 502-504.
[19]	HE Xiang-Hao , LI Tie-Zhong , XIAN Ding-Chang . SINGLE LINK PARTITION FUNCTIONS FOR VARIOUS FORMS OF SOURCES AND THEIR APPLICATIONS IN SU(3) LATTICE GAUGE FIELD THEORY. Chinese Physics C, 1984, 8(6): 772-776.
[20]	CHEN Tian-Lun , Zhou Hong-Mo , LI Tie-Zong , XIAN Ding-Chang , ZHENG Xi-Te . VARIATIONAL ANALYSIS OF THE SU(3) LATTICE GAUGE THEORY. Chinese Physics C, 1984, 8(5): 653-656.

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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(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