Inequalities for Ising models and field theories which obey the Lee-Yang Theorem

摘要: A series of inequalities for partition, correlation, and Ursell functions are derived as consequences the Lee-Yang Theorem. In particular, then-point Schwinger ofeven φ4 models bounded in terms 2-point function strongly is case Gaussian fields; this strengthens recent results Glimm Jaffe shows that renormalizability by fourth degree counter-terms implies existence a field theory with moment generating which entire exponential order at most two. It also noted ifany (even) truncated vanishes identically, resulting generalized free field.