Variational Study of 〈ψψ〉 in the Lattice Schwinger Model with Wilson Fermions

XU Guocai; JIANG Junqin; CHEN Qizhou

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《中国物理C》（英文）编辑部

2024年10月30日

Chinese Physics C> 1993, Vol. 17> Issue(11) : 1011-1015

Variational Study of 〈ψψ〉 in the Lattice Schwinger Model with Wilson Fermions

Department of Physics,Guandong College of Education,Guangzhou,5103031 Department of Physics,Zhonshan University,Guangzhou 510275

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Abstract：
We used the variational method in lattice gauge theory to calculate the chiral order parameter 〈ψψ〉 in the Schwinger model with Wilson fermions.

References

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J, Schwinger , Phys. Rev. ,128 (1962 ) , 2425.[2]W. Marciano,H. Pagels,Phys. Rev. ,36C(1978) ,1043.[3]L. Landau,in Niels Bohr and the Development of Physics, edited by W, Pauli(Pergamon,London, 1955)[4]Lou Xiang-qian,Chen Qi-zhou,J. Phys. ,G16(1990),181.[5]Chen Qi-zhou,Luo Xiang-qian,Phys.Rev. ,D42(1990),1293.[6]陈启洲，郑维宏，罗向前，方锡岩，高能物理与核物理，15(1991),23.[7]陈启洲，方锡岩，许国材，刘金明，罗向前，高能物理与核物理，15(1991),518.

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[2]	Jiang Junqin , Xu Guocai , Chen Qizhou . The Calculation of M_v/m in the Lattice Schwinger Model with Massive Wilson Fermions. Chinese Physics C, 1994, 18(3): 222-228.
[3]	LIU Jin-Ming , GONG Di . Variational Study of 3-Dimensional SU(2) Lattice Gauge Theory with Independent Plaquette Trial Action. Chinese Physics C, 1993, 17(2): 128-133.
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[5]	CHEN Qi-Zhou , ZHENG Wei-Hong , LUO Xiang-Qian , FANG Xi-Yan . Variational Study of <ψψ> in the Lattice Schwinger Model. Chinese Physics C, 1991, 15(1): 23-28.
[6]	ZHENG Bo . A(1+1)-DIMENSIONAL LATTICE U(1) GAUGE MODEL AND THE FERMION SPECIES DOUBLING. Chinese Physics C, 1990, 14(4): 375-379.
[7]	CHEN Qi-Zhou , LI Zhi-Bing , LUO Xiang-Qian , DAI Fu-Hua , GUO Shuo-Hong . VACUUM EXPECTATION VALUES OF 6-LINK WILSON LOOP IN SU(2) LATTICE GAUGE THEORY. Chinese Physics C, 1990, 14(3): 212-219.
[8]	ZHENG Wei-Hong , GUO Shuo-Hong . THE VARIATIONAL CALCULATION OF MASS GAP IN 2+1 DIMENSIONAL U(1) LGT. Chinese Physics C, 1989, 13(2): 184-187.
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[11]	ZHENG Bo . THE EXACT GROUND STATE AND STRING TENSION OF MASSIVE LATTICE SCHWINGER MODELS. Chinese Physics C, 1989, 13(10): 956-960.
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[13]	ZHENG Bo , GUO Shuo-Hong . AN EXACT SOLUTION OF THE NAIVE SCHWINGER MODEL ON LATTICE. Chinese Physics C, 1989, 13(8): 696-700.
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[15]	DONG Shao-Jing . NORMAL FUZZY LATTICE ——A PROBABLE FERMIONIC ACTION WITHOUT MULTIPLICITY BUT REMAINS CONVARIANT AND CHIRAL LIMIT. Chinese Physics C, 1987, 11(4): 543-548.
[16]	HU Lian , GUO Shuo-Hong . A VARIATIONAL RESEARCH FOR HADRON SPECTRUM. Chinese Physics C, 1986, 10(3): 288-296.
[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]	HE Xiang-Hao , XIAN Ding-Chang , SONG Yong-Shen . A VARIATIONAL METHOD IN LATTICE GAUGE THEORY BASED ON HÖLDER INTEGRAL INEQUALITY. Chinese Physics C, 1985, 9(5): 629-634.
[19]	HE Xiang-Hao , Xian Ding-Chang . VARIATIONAL ANALYSIS OF THE PHASE STRUCTURE OF THE SU(3) LATTICE GAUGE THEORY WITH A MIXED FUNDAMENTAL-ADJOINT ACTION. Chinese Physics C, 1985, 9(1): 120-124.
[20]	XUE She-Sheng , XIAN Ding-Chang . THE STOCHASTIC EQUATIONS IN THE LATTICE GAUGE FIELD THEORY AND THE SCHWINGER-KYSON EQUATION FOR THE WILSON LOOP VARIABLE. Chinese Physics C, 1985, 9(6): 703-711.

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XU Guocai, JIANG Junqin and CHEN Qizhou. Variational Study of 〈ψψ〉 in the Lattice Schwinger Model with Wilson Fermions[J]. Chinese Physics C, 1993, 17(11): 1011-1015.

XU Guocai, JIANG Junqin and CHEN Qizhou. Variational Study of 〈ψψ〉 in the Lattice Schwinger Model with Wilson Fermions[J]. Chinese Physics C, 1993, 17(11): 1011-1015. shu

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Received: 1900-01-01
Revised: 1900-01-01

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沈阳化工大学材料科学与工程学院沈阳 110142

Variational Study of 〈ψψ〉 in the Lattice Schwinger Model with Wilson Fermions

Corresponding author: XU Guocai,

Department of Physics,Guandong College of Education,Guangzhou,5103031 Department of Physics,Zhonshan University,Guangzhou 510275

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1993-11-05

Abstract: We used the variational method in lattice gauge theory to calculate the chiral order parameter 〈ψψ〉 in the Schwinger model with Wilson fermions.