Diffeomorphism symmetry effect on the O(N ) universality class

Abstract

We probe the effect of diffeomorphism symmetry on the critical exponents values for massive O($N$) $\lambda {\varphi }^4$ scalar field theories in curved spacetime. We apply field-theoretic renormalization group tools, where we use only momentum coordinates as opposed to the earlier standard procedure with both space and momentum coordinates, for computing analytically the critical exponents up to three-loop order for one of them and up to two-loop level for the remaining ones. We found that the curved spacetime critical exponents are the same as their flat spacetime counterparts, at least up to the level considered. At the conclusions we present the physical interpretation for the results.

12 pages, 14 figures

References in corpus (2)

• Self-force on extreme mass ratio inspirals via curved spacetime effective field theory
• The critical equation of state of the three-dimensional O(N) universality class: N>4

Cited by in corpus (1)

• Nonextensive statistical field theory