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.

13 pages

References in corpus (6)

• Dynamically Generated Open and Hidden Charm Meson Systems
• Dynamically generated 0^+ heavy mesons in a heavy chiral unitary approach
• Strong and radiative decays of the Ds0*(2317) meson in the DK-molecule picture
• $D_s$ mesons with $DK$ and $D^{\ast }K$ scattering near threshold
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Cited by in corpus (3)

• Implications of chiral symmetry on $S$-wave pionic resonances and the scalar charmed mesons
• Chiral Lagrangians for mesons with a single heavy quark
• Renormalization of chiral perturbation theory with spinless matter field in curved spacetime