Chinese Physics C > 1994, Vol. 18 > Issue(3): 222-228

The Calculation of M_v/m in the Lattice Schwinger Model with Massive Wilson Fermions

Department of Physics, Guangdong institute of Education, Guangzhou 5103031 Departmen, of Physics, Zhongshan University, Guangzhou 510275

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Abstract：
Using the variational method, we calculate the vector meson mass M _vin the Lattice Schwinger model with massive Wilson fermions, and then calculate the rate of change of the vector meson mass M. with the fermion mass m(at m=0). Our results are consistent with the exact value in the continuum.

References

[1]

Luo Xiangqian,Chen Qizhou,J.Phys.,G16（1990）,181.[2]Chen Qizhou,Luo Xianqian,Phys.Rev.,D42（1990）,1293.[3]陈启洲、郑维宏、罗向前，方锡岩，高能物理与核物理，15（1991）,23.[4]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.[5]Fang Xiyan,Luo Xiangqian,Xu Guocai,Chen Qizhou,Z.Phys.,C54（1992）,587.[6]罗向前、陈启洲，高能物理与核物理，16（1992）,685.[7]许国材、江俊勤、陈启洲，高能物理与核物理，17（1993）1011.[8]T.Banks,J.Kogut,L.Susskind,Phys.Rev.,D13（1976）.1043.[9]A.Carroll,J.Kogut,D.K.Sinclair,L.Susskind,Phys,Rev.,D13（1976） 2270.

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[2]	LIU Da-Qing,WU Ji-Min,CHEN Ying. New Approach to Constructing the Operator on the Lattice for the Calculation of the Glueball Masses. Chinese Physics C, 2002, 26(3): 222-229.
[3]	Jiang Junqin,Luo Xiangqian. Calculation of the Vector Meson Mass in 1+1 Dimensional Lattice QCD by Using the Improved Hamiltonian. Chinese Physics C, 1999, 23(7): 644-649.
[4]	Chen Zhongqiu,Shao Changgui,Ma Weichuan. Calculation of Wilson Loop Functionals for Classical and Quantum Gravities. Chinese Physics C, 1998, 22(3): 217-224.
[5]	Jiang Junqin. The Calculation of the Fermion Condensates by Using the Improved Hamiltonian. Chinese Physics C, 1998, 22(10): 891-895.
[6]	Wu Jimin. A Discussion About Recent Numerical Results From the Calculation of the Glueball Masses on Lattice Gauge Theory. Chinese Physics C, 1996, 20(10): 894-899.
[7]	Liu Beishu,Zheng Xite. Analytical Calculation of Lattice SU(2)-Higgs Model with Varied Length. Chinese Physics C, 1995, 19(12): 1090-1095.
[8]	XU Guocai,JIANG Junqin,CHEN Qizhou. Variational Study of 〈ψψ〉 in the Lattice Schwinger Model with Wilson Fermions. Chinese Physics C, 1993, 17(11): 1011-1015.
[9]	CHEN Qi-Zhou,FANG Xi-Yan,XU Guo-Cai,LIU Jin-Ming,LUO Xiang-Qian. Variational Study of. Chinese Physics C, 1991, 15(6): 518-523.
[10]	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.
[11]	RUAN Jie,JING Si-Cong. THE CHIRAL ANOMALY OF LINEAR σ MODEL AND SCHWINGER TERMS. Chinese Physics C, 1990, 14(10): 882-891.
[12]	ZHENG Bo. A(1+1)-DIMENSIONAL LATTICE U(1) GAUGE MODEL AND THE FERMION SPECIES DOUBLING. Chinese Physics C, 1990, 14(4): 375-379.
[13]	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.
[14]	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.
[15]	ZHENG Bo. THE EXACT GROUND STATE AND STRING TENSION OF MASSIVE LATTICE SCHWINGER MODELS. Chinese Physics C, 1989, 13(10): 956-960.
[16]	ZHENG Bo,GUO Shuo-Hong. AN EXACT SOLUTION OF THE NAIVE SCHWINGER MODEL ON LATTICE. Chinese Physics C, 1989, 13(8): 696-700.
[17]	ZHENG Bo. THE EXACT GROUND STATE OF THE LATTICE SCHWINGER MODEL. Chinese Physics C, 1989, 13(8): 760-764.
[18]	ZHENG Bo. EXACT CALCULATION OF STRING TENSIONS OF LATTICE SCHWINGER MODELS. Chinese Physics C, 1989, 13(9): 860-864.
[19]	LIU Jin-Ming,ZHENG Bo,GUO Shuo-Hong. QUARK MASS RENORMALIZATION IN LATTICE GAUGE THEORY (Ⅱ) BARYON MASS CALCULATION. Chinese Physics C, 1986, 10(1): 116-119.
[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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Jiang Junqin, Xu Guocai and Chen Qizhou. The Calculation of M _v/m in the Lattice Schwinger Model with Massive Wilson Fermions[J]. Chinese Physics C, 1994, 18(3): 222-228.

Jiang Junqin, Xu Guocai and Chen Qizhou. The Calculation of M _v/m in the Lattice Schwinger Model with Massive Wilson Fermions[J]. Chinese Physics C, 1994, 18(3): 222-228. 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

The Calculation of M_v/m in the Lattice Schwinger Model with Massive Wilson Fermions

Corresponding author:Jiang Junqin,

Department of Physics, Guangdong institute of Education, Guangzhou 5103031 Departmen, of Physics, Zhongshan University, Guangzhou 510275

Received Date:1900-01-01
Accepted Date:1900-01-01
Available Online:1994-03-05

Abstract:Using the variational method, we calculate the vector meson mass M_vin the Lattice Schwinger model with massive Wilson fermions, and then calculate the rate of change of the vector meson mass M. with the fermion mass m(at m=0). Our results are consistent with the exact value in the continuum.