One-loop renormalization of the chiral Lagrangian for spinless matter fields in the SU(N) fundamental representation

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 $SU(N{)}_L\times SU(N{)}_R$ to $SU(N{)}_V$ 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 $\mathcal{O}(p^3)$. They are absorbed by counterterms not only from the third order but also from the second order chiral Lagrangian.

arXiv comment13 pages

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Cited by in corpus (9)

• Chiral perturbation theory for heavy hadrons and chiral effective field theory for heavy hadronic molecules
• Towards a theory of hadron resonances
• Study of open-charm $0^{+}$ states in unitarized chiral effective theory with one-loop potentials
• Background field method and nonlinear gauges
• Implications of chiral symmetry on $S$-wave pionic resonances and the scalar charmed mesons
• Chiral Lagrangians for mesons with a single heavy quark
• Finite volume corrections to forward Compton scattering off the nucleon
• Relations for low-energy coupling constants in baryon chiral perturbation theory derived from the chiral quark model
• Renormalization of chiral perturbation theory with spinless matter field in curved spacetime