Alternative Proof of Ultraviolet Stability of the Two-Dimensional Massive Sine Gordon Field Theory in All Regions of Collapse

摘要

The upper bound for the ultraviolet stability of the two dimensional cosine interaction in finite volume is proven for alpha epsilon renormalizable. Ultraviolet stability in this interval is proved using renormalization group methods based on a multiscale decomposition of the field by showing that the large fluctuations may be controlled by their small probability.