Massive Sine Gordon Equation in All Regions of Collapse

摘要

The ultraviolet stability for the cosine interaction in two dimensions and finite volume is rederived for values alpha sq epsilon 4 pi, 32/5 pi and proved for the remaining alpha sq epsilon 4 pi, 8 pi using renormalization group methods developed by Gallavotti and Nicolo (1985) to portray renormalized effective potentials arising from a multiscale decomposition.