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: email@example.com
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