出版社：SISSA, Scuola Internazionale Superiore di Studi Avanzati
摘要：Polyakov has demonstrated that a monopole plasma gives confinement in Georgi Glashow model in three Euclidean dimensions. However his semi classical techniques are not applicable for pure YM3. Even though the gauge potential ansatz of ’t Hooft Polyakov monopole has a finite action in YM3, it is not a stable classical solution, indeed, larger the ‘size’ smaller the action. We develop techniques for summing over such large overlapping monopole configurations. This is based on i) characterizing the configurations using eigenfunctions of Bi(x) Bj(x), ii) obtaining a two potential formalism for Yang Mills theory. These techniques provide a way for combining renormalized perturbation theory and asymptotic freedom with confining effects of fluctuations of topological significance.
