Diffeomorphism symmetry effect on the O(N ) universality class

We probe the effect of diffeomorphism symmetry on the critical exponents values for massive O(\(N\)) \(\lambda\phi^{4}\) 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 procedur...

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Bibliographic Details
Published in:arXiv.org 2021-03
Main Authors: Costa, H A S, Carvalho, P R S
Format: Article
Language:English
Subjects:
Exponents
Isomorphism
Momentum
Relativity
Scalars
Spacetime
Symmetry
Online Access:Get full text
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Summary:We probe the effect of diffeomorphism symmetry on the critical exponents values for massive O(\(N\)) \(\lambda\phi^{4}\) 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.
ISSN:2331-8422
DOI:10.48550/arxiv.2103.01899