Induced charge matching conditions

Abstract

Abstract It is suggested that strongly coupled theories obey matching conditions for global fermionic charges induced in vacuum by slowly varying, topologically non-trivial background scalar fields. The basis for this statement is the theorem about a non-renor-malization of induced charge provided that expansion in momenta of background fields is valid. In the examples presented in this talk we demonstrate that induced charge matching conditions are generally not equivalent to ‘t Hooft anomaly matching conditions. In particular, the corresponding constraints in softly broken supersymmetric QCD suggest non-trivial low energy mass pattern, in full accord with the results of direct analyses.