Wess-Zumino Term by Vacuum Overlap Formula | Zendy

Yoshio Kikukawa | Zendy; Syuji Miyazaki | Zendy

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Wess-Zumino Term by Vacuum Overlap Formula

Author(s) -

Yoshio Kikukawa,

Syuji Miyazaki

Publication year - 1996

Publication title -

progress of theoretical physics

Language(s) - English

Resource type - Journals

eISSN - 1347-4081

pISSN - 0033-068X

DOI - 10.1143/ptp.96.1189

Subject(s) - physics , regularization (linguistics) , lattice (music) , mathematical physics , asymptotic freedom , scaling , crossover , gaussian , fixed point , term (time) , quantum electrodynamics , quantum mechanics , mathematical analysis , geometry , gauge theory , mathematics , artificial intelligence , computer science , acoustics

We examine the vacuum overlap formula for the two-dimensional SU(2)Wess-Zumino term in lattice regularization. Perturbatively it reproduces theWess-Zumino term correctly in the continuum limit and yields the IR fixed pointin the beta function of the chiral model. Nonperturbatively it shows a sharpGaussian distribution for the SU(2) chiral field configurations in the scalingregion, where smooth configurations dominate even in the symmetric phase due toasymptotic freedom. Crossover is sharp from the strong coupling region wherethe Wess-Zumino term fluctuates hard and the species doublers' contribution issuspected to affect it.Comment: 21 LaTeX pages with 9 postscript figures, ptptex.sty include

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