https://doi.org/10.1140/epjc/s10052-019-6721-8
Regular Article - Theoretical Physics
Renormalization of multicritical scalar models in curved space
Theoretisch-Physikalisches Institut, Friedrich-Schiller-Universität Jena, Max-Wien-Platz 1, 07743, Jena, Germany
* e-mail: riccardo.martini@uni-jena.de
Received:
21
January
2019
Accepted:
23
February
2019
Published online:
7
March
2019
We consider the leading order perturbative renormalization of the multicritical 
models and some generalizations in curved space. We pay particular attention to the nonminimal interaction with the scalar curvature 
and discuss the emergence of the conformal value of the coupling 
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.
© The Author(s), 2019
