Jack, Ian and Poole, Colin
(2015)
The a-function for gauge theories.
Journal of High Energy Physics, 2015 (1).
138-.
![[img]](https://livrepository.liverpool.ac.uk/style/images/fileicons/text.png) |
Text
agauge.pdf - Author Accepted Manuscript Download (308kB) |
Abstract
The a-function is a proposed quantity defined for quantum field theories which has a monotonic behaviour along renormalisation group flows, being related to the beta-functions via a gradient flow equation involving a positive definite metric. We construct the a-function at four loop order for a general gauge theory with fermions and scalars, using only one and two loop beta-functions; we are then able to provide a stringent consistency check on the general three-loop gauge beta-function. In the case of an N=1 supersymmetric gauge theory, we present a general condition on the chiral field anomalous dimension which guarantees an exact all-orders expression for the a-function; and we verify this up to fifth order (corresponding to the three-loop anomalous dimension).
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Renormalization Group, Supersymmetric gauge theory |
| Depositing User: | Symplectic Admin |
| Date Deposited: | 06 Dec 2018 10:25 |
| Last Modified: | 16 Mar 2024 06:14 |
| DOI: | 10.1007/JHEP01(2015)138 |
| Related URLs: | |
| URI: | https://livrepository.liverpool.ac.uk/id/eprint/3029613 |
Dimensions
Dimensions
