We consider the leading order perturbative renormalization of the multicritical ϕ 2n models and some generalizations in curved space. We pay particular attention to the nonminimal interaction with the scalar curvature 12ξϕ2R and discuss the emergence of the conformal value of the coupling ξ as the renormalization group fixed point of its beta function at and below the upper critical dimension as a function of n. We also examine our results in relation with Kawai and Ninomiya’s formulation of two dimensional gravity.
Renormalization of multicritical scalar models in curved space
Zanusso O.
2019-01-01
Abstract
We consider the leading order perturbative renormalization of the multicritical ϕ 2n models and some generalizations in curved space. We pay particular attention to the nonminimal interaction with the scalar curvature 12ξϕ2R and discuss the emergence of the conformal value of the coupling ξ as the renormalization group fixed point of its beta function at and below the upper critical dimension as a function of n. We also examine our results in relation with Kawai and Ninomiya’s formulation of two dimensional gravity.File in questo prodotto:
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