Quantitative Analysis for U(1) Gauge Theory

  • 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.
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  • [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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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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Quantitative Analysis for U(1) Gauge Theory

    Corresponding author: Yan Xiunling,
  • Department of Physics,Liaocheng Teachers' College,Shandong Province 252059

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.

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