Jack, I and Jones, DRT
(2021)
Anomalous dimensions at large charge for <i>U</i>(<i>N</i>) x <i>U</i>(<i>N</i>) theory in three and four dimensions.
PHYSICAL REVIEW D, 104 (10).
105017-.
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. This result was subsequently generalized to operators of fixed charge Q in O(N) theory and verified up to four loops in perturbation theory at leading and subleading Q. More recently, similar semiclassical calculations have been performed for the classically scale-invariant U(N)×U(N) theory in four dimensions, and verified up to two loops, once again at leading and subleading Q. Here we extend this verification to four loops. We also consider the corresponding classically scale-invariant theory in three dimensions, similarly verifying the leading and subleading semiclassical results up to four loops in perturbation theory.
| Item Type: | Article |
|---|---|
| Divisions: | Faculty of Science and Engineering > School of Physical Sciences |
| Depositing User: | Symplectic Admin |
| Date Deposited: | 11 May 2022 13:20 |
| Last Modified: | 17 Mar 2024 13:10 |
| DOI: | 10.1103/PhysRevD.104.105017 |
| Open Access URL: | https://journals.aps.org/prd/abstract/10.1103/Phys... |
| Related URLs: | |
| URI: | https://livrepository.liverpool.ac.uk/id/eprint/3154620 |
Dimensions
Dimensions
