Abstract
We perform the leading one-loop renormalization of the chiral Lagrangian for spinless matter fields living in the fundamental representation of SU(N). The Lagrangian can also be applied to any theory with a spontaneous symmetry breaking of SU(N)L × SU(N)R to SU and spinless matter fields in the fundamental representation. For QCD, the matter fields can be kaons or pseudoscalar heavy mesons. Using the background field method and heat kernel expansion techniques, the divergences of the one-loop effective generating functional for correlation functions of single matter fields are calculated up to , where p denotes a small momentum or Goldstone boson mass. The divergences are absorbed by counterterms not only from the third order but also from the second order chiral Lagrangian.
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