Gradient flows in three dimensions



Jack, Ian, Jones, Tim and Poole, Colin
(2015) Gradient flows in three dimensions. Journal of High Energy Physics, 2015 (09).

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Abstract

The α-function is a proposed quantity defined for quantum field theories which has a monotonic behaviour along renormalisation group flows, being related to the β-functions via a gradient flow equation involving a positive definite metric. We demonstrate the existence of a candidate α-function for renormalisable Chern-Simons theories in three dimensions, involving scalar and fermion fields, in both non-supersymmetric and supersymmetric cases.

Item Type: Article
Depositing User: Symplectic Admin
Date Deposited: 03 Dec 2018 15:56
Last Modified: 13 Jan 2022 00:14
DOI: 10.1007/JHEP09(2015)061
Related URLs:
URI: https://livrepository.liverpool.ac.uk/id/eprint/3029428