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) 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 mo...

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Bibliographic Details
Published in:Classical and quantum gravity 2019-04, Vol.36 (7), p.75008
Main Authors: Costa, H A S, Carvalho, P R S
Format: Article
Language:English
Subjects:
anomalous dimension
higher-loop computation
renormalization
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Summary:We probe the effect of diffeomorphism symmetry on the critical exponents values for massive O(N) 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. In the conclusions we present the physical interpretation for the results.
ISSN:0264-9381
1361-6382
DOI:10.1088/1361-6382/ab0a97