Matching of UL(3) x UR(3) and SUL(3) x SUR(3) Chiral Perturbation Theories

Abstract

The heavy singlet field is integrated out from the UL(3) x UR(3) Chiral Perturbation Theory and it is shown how its effects on the low-energy dynamics are reduced to effective vertices for the light mesons. The results are matched against the standard SUL(3) x SUR(3) Chiral Perturbation Theory in order to establish the relations between the coupling constants from both theories to one-loop level accuracy.

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