Gracey, JA 
ORCID: 0000-0002-9101-2853
(2020)
Six-dimensional ultraviolet completion of the CP (N) σ model at two loops
Modern Physics Letters A, 35 (22).
p. 2050188.
ISSN 0217-7323, 1793-6632
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cpnd6two.pdf - Author Accepted Manuscript Download (229kB) | Preview |
Abstract
We extend the recent one-loop analysis of the ultraviolet completion of the CP(N) nonlinear σ model in six dimensions to two-loop order in the MS¯ scheme for an arbitrary covariant gauge. In particular we compute the anomalous dimensions of the fields and β-functions of the four coupling constants. We note that like Quantum Electrodynamics (QED) in four dimensions the matter field anomalous dimension only depends on the gauge parameter at one loop. As a nontrivial check we verify that the critical exponents derived from these renormalization group functions at the Wilson-Fisher fixed point are consistent with the expansion of the respective large N exponents of the underlying universal theory. Using the Ward-Takahashi identity we deduce the three-loop MS¯ renormalization group functions for the six-dimensional ultraviolet completeness of scalar QED.
| Item Type: | Article |
|---|---|
| Additional Information: | 11 latex pages, minor changes and several references added |
| Uncontrolled Keywords: | Renormalization, Abelian gauge theory, six dimensions |
| Depositing User: | Symplectic Admin |
| Date Deposited: | 28 Apr 2020 09:21 |
| Last Modified: | 24 Jan 2026 02:30 |
| DOI: | 10.1142/S0217732320501886 |
| Related Websites: | |
| URI: | https://livrepository.liverpool.ac.uk/id/eprint/3085033 |
| Disclaimer: | The University of Liverpool is not responsible for content contained on other websites from links within repository metadata. Please contact us if you notice anything that appears incorrect or inappropriate. |
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