Quantitative Analysis for U(1) Gauge Theory

Yan Xiunling; Jiang Zhijin; Li Zuohong

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2024年10月30日

Chinese Physics C> 1995, Vol. 19> Issue(6) : 527-533

Quantitative Analysis for U(1) Gauge Theory

Department of Physics,Liaocheng Teachers' College,Shandong Province 252059

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Abstract：
The renormalization group equation is derived under the scheme of MigdalKadanoff renormalization group transformations.This equation is applied to U(1)lattice group theory.The numerical results for stong and weak coupling regions,including the critical coupling point and the termediate coupling region are presented,which are consistent with the exact results obtained from the strong and weakcoupling expansions and the recent Monte Carlo simulations.

References

[1]

K.G.Wilion,Phys.Rev.,D10（1974）2445;J.Kogut,Rev.Mod.Phys.,51（1979）659;M.Bander,Phys.Report,75（1981）205.[2]A.Migdal,J.Exp.theor.Phys.,42（1976）413;42（1976）743.[3]L.P.Kadanoff,Ann.Phys.,100（1976）359.[4]S.Caracciolo,P.Menotti,Nucl.Phys.,B180（FS2）（1981）428;M.Nauenberg,D.Toussaint,Nucl.Phys.,B190（FS3）（1981）217.[5]K.M.Bitar,S.Gottlieb,C.K.Zachos,Phys.Rev.,D26（1982）2853;Phys.Lett.,121B（1983）163;M.Imashi,S.Kaeake,H.Yoneyama,Prog.Theor.Phys.,69（1983）1005.[6]Chung-ITan,Zai-xinXu,Brown-HET-521,Dec.（1983）[7]G.Bhanot,Pkys.Rev.,D24（1981）,461;T.A.Gegrand,D.Toussaint,Phys,Rev.,D24（1981）466;K.J.M.Morierty,Phys.Rev.,D25（1982）2185,D.Horn,M.Kailiner,E.Katznelson,S.Yankie-lowicz,Phys.Lett.,113B（1982）258.[8]G.Bhanot,Nucl.Phys.,B205（FS5）（1982）168.[9]D.G.Caldi,Nucl.Phys.,B220（FS8）（1983）48.[10]M.Greutz,Phys.Rev.Lett.,43（1979）553.[11]徐在新，物理学报，35（1986）,1403.

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[10]	ZHENG Bo . A(1+1)-DIMENSIONAL LATTICE U(1) GAUGE MODEL AND THE FERMION SPECIES DOUBLING. Chinese Physics C, 1990, 14(4): 375-379.
[11]	ZHENG Bo , GUO Shuo-Hong . A SOLVABLE (1+1)-DIMENSIONAL LATTICE U(1) GAUGE MODEL. Chinese Physics C, 1990, 14(3): 282-285.
[12]	ZHENG Bo , GUO Shuo-Hong . A SOLVABLE 1+1-DIMENSIONAL U(1) GAUGE THEORY. Chinese Physics C, 1990, 14(2): 152-155.
[13]	LI Zhi-Bing , ZHENG Wei-Hong , GUO Shuo-Hong . THE STRING TENSION OF 2+1 DIMENSIONAL SU(2) GAUGE THEORIES. Chinese Physics C, 1989, 13(7): 670-672.
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[18]	LIN Jin-Hu , ZHENG Zhe-Zhu . THE HADRON 1→0 DECAY PROCESSESIN A 3+1 DIMENSIONAL THEORY. Chinese Physics C, 1986, 10(2): 153-157.
[19]	CHEN Shi-Hao . ELECTRO-WEAK UNIFIED THEORY——A MODEL IN SU(3)×U(1). Chinese Physics C, 1985, 9(6): 679-686.
[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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Yan Xiunling, Jiang Zhijin and Li Zuohong. Quantitative Analysis for U(1) Gauge Theory[J]. Chinese Physics C, 1995, 19(6): 527-533.

Yan Xiunling, Jiang Zhijin and Li Zuohong. Quantitative Analysis for U(1) Gauge Theory[J]. Chinese Physics C, 1995, 19(6): 527-533. shu

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

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1.
沈阳化工大学材料科学与工程学院沈阳 110142

Quantitative Analysis for U(1) Gauge Theory

Corresponding author: Yan Xiunling,

Department of Physics,Liaocheng Teachers' College,Shandong Province 252059

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1995-06-05

Abstract: The renormalization group equation is derived under the scheme of MigdalKadanoff renormalization group transformations.This equation is applied to U(1)lattice group theory.The numerical results for stong and weak coupling regions,including the critical coupling point and the termediate coupling region are presented,which are consistent with the exact results obtained from the strong and weakcoupling expansions and the recent Monte Carlo simulations.