Non-renormalization of induced charges and constraints on strongly coupled theories

Details Non-renormalization of induced charges and constraints on strongly coupled theories Non-renormalization of induced charges and constraints on strongly coupled theories

1999-03-17

arxiv.org/abs/hep-th/9903155v1

Phys.Rept. 320 (1999) 147-158

Physics

High Energy Physics

High Energy Physics - Theory

19 pages, LaTeX, two PS figures; Submitted to special issue of Phys. Reports dedicated to 70th birthday of L.B.Okun

Scientific paper

10.1016/S0370-1573(99)00073-3

It is shown that global fermionic charges induced in vacuum by slowly varying, topologically non-trivial background scalar fields are not renormalized provided that expansion in momenta of background fields is valid. This suggests that strongly coupled theories obey induced charge matching conditions which are analogous, but generally not equivalent, to 't Hooft anomaly matching conditions. We give a few examples of induced charge matching. 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.

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