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arXiv · 1810.06395

Renormalization of multicritical scalar models in curved space

Riccardo Martini·Omar Zanusso
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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 $\frac{1}{2}ξϕ^2 R$ 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.

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Riccardo Martini, Omar Zanusso. 2019-03-14. Renormalization of multicritical scalar models in curved space. https://doi.org/10.1140/epjc%2Fs10052-019-6721-8

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