Renormalization of chiral perturbation theory with spinless matter field in curved spacetime

Abstract

We generalize chiral perturbation theory with spinless matter fields in the fundamental representation of $\mathrm{SU}(N)$ to curved spacetime in the presence of an external gravitational field. This work is motivated by recent interest in investigating energy-momentum tensor matrix elements of matter fields. The complete chiral Lagrangian is constructed, including both minimal extensions from flat spacetime and new curvature-induced terms, up to the next-to-next-to-leading order in the chiral expansion, $\mathcal{O}(p^3)$. We perform a systematic one-loop renormalization of the generating functional using the background field method combined with the heat-kernel technique, and explicitly compute the resulting ultraviolet divergences.

References in corpus (8)

• Subleading contributions to the width of the D_{s0}*(2317)
• Pressure inside hadrons: criticism, conjectures, and all that
• Dispersive Determination of Nucleon Gravitational Form Factors
• One-loop renormalization of the chiral Lagrangian for spinless matter fields in the SU(N) fundamental representation
• Subtraction of power counting breaking terms in chiral perturbation theory: spinless matter fields
• Stress out of charmonia
• Gravitational form factor $D$ of charmonium from shear stress
• Gravitational form factors of pions, kaons and nucleons from dispersion relations