Anomalous dimensions for φ<i><SUP>n</SUP></i> in scale invariant <i>d</i>=3 theory



Jack, I and Jones, DRT
(2020) Anomalous dimensions for φ<i><SUP>n</SUP></i> in scale invariant <i>d</i>=3 theory. PHYSICAL REVIEW D, 102 (8). 085012-.

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Abstract

Recently it was shown that the scaling dimension of the operator φn in scale invariant d=3 theory may be computed semiclassically, and this was verified to leading order (two loops) in perturbation theory at leading and subleading n. Here we extend this verification to six loops, once again at leading and subleading n. We then perform a similar exercise for a theory with a multiplet of real scalars and an O(N) invariant hexic interaction. We also investigate the strong-coupling regime for this example.

Item Type: Article
Divisions: Faculty of Science and Engineering > School of Physical Sciences
Depositing User: Symplectic Admin
Date Deposited: 30 Aug 2022 10:50
Last Modified: 17 Mar 2024 09:04
DOI: 10.1103/PhysRevD.102.085012
Open Access URL: https://journals.aps.org/prd/abstract/10.1103/Phys...
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URI: https://livrepository.liverpool.ac.uk/id/eprint/3162390

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