Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
1996-08-26
Prog.Theor.Phys. 96 (1996) 1189-1208
Physics
High Energy Physics
High Energy Physics - Lattice
21 LaTeX pages with 9 postscript figures, ptptex.sty included
Scientific paper
10.1143/PTP.96.1189
We examine the vacuum overlap formula for the two-dimensional SU(2) Wess-Zumino term in lattice regularization. Perturbatively it reproduces the Wess-Zumino term correctly in the continuum limit and yields the IR fixed point in the beta function of the chiral model. Nonperturbatively it shows a sharp Gaussian distribution for the SU(2) chiral field configurations in the scaling region, where smooth configurations dominate even in the symmetric phase due to asymptotic freedom. Crossover is sharp from the strong coupling region where the Wess-Zumino term fluctuates hard and the species doublers' contribution is suspected to affect it.
Kikukawa Yoshio
Miyazaki Satoshi
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