Equivalence of domains for hyperbolic Hubbard-Stratonovich transformations

摘要: We settle a long standing issue concerning the traditional derivation of non-compact non-linear sigma models in theory disordered electron systems: hyperbolic Hubbard-Stratonovich (HS) transformation Pruisken-Schaefer type. Only recently validity such transformations was proved case U(p,q) (non-compact unitary) and O(p,q) orthogonal) symmetry. In this article we give proof for general symmetry groups. Moreover show that type are related to other variants HS by deformation domain integration. particular clarify origin surprising sign factors which were discovered orthogonal