Anomalous dimensions at large charge in <i>d</i>=4 <i>O</i>(<i>N</i>) theory



Jack, I and Jones, DRT
(2021) Anomalous dimensions at large charge in <i>d</i>=4 <i>O</i>(<i>N</i>) theory. PHYSICAL REVIEW D, 103 (8). 085013-.

This is the latest version of this item.

Access the full-text of this item by clicking on the Open Access link.
[img] Text
fourdimfin.pdf - Author Accepted Manuscript

Download (308kB) | Preview

Abstract

Recently it was shown that the scaling dimension of the operator φn in λ(φ¯φ)2 theory may be computed semiclassically at the Wilson-Fisher fixed point in d=4-ϵ, for generic values of λn, and this was verified to two loop order in perturbation theory at leading and subleading n. In subsequent work, this result was generalized to operators of fixed charge Q¯ in O(N) theory and verified up to three loops in perturbation theory at leading and subleading Q¯. Here we extend this verification to four loops in O(N) theory, once again at leading and subleading Q¯. We also investigate the strong-coupling regime.

Item Type: Article
Divisions: Faculty of Science and Engineering > School of Physical Sciences
Depositing User: Symplectic Admin
Date Deposited: 30 Aug 2022 11:51
Last Modified: 17 Mar 2024 11:59
DOI: 10.1103/PhysRevD.103.085013
Open Access URL: https://journals.aps.org/prd/abstract/10.1103/Phys...
Related URLs:
URI: https://livrepository.liverpool.ac.uk/id/eprint/3162389

Available Versions of this Item