1995•University of Debrecen Electronic Archive (University of Debrecen)Open access

Effect of the Haar measure on the finite temperature effective potential of SU(2) Yang-Mills theory

K. Sailer, A. Schäfer, Walter Greiner

Abstract

Including the Haar measure we show that the effective potential of the regularized SU(2) Yang-Mills theory has a minimum at vanishing Wilsonline W = 0 for strong coupling, whereas it develops two degenerate minima close to W = ±1 for weak coupling.This suggests that the non-abelian character of SU(2) as contained in the Haar measure might be responsible for confinement.

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Key concepts: Haar measure, Haar, Measure (data warehouse), Degenerate energy levels, Abelian group, Yang–Mills theory, Maxima and minima, Coupling (piping)