Gradient flows in three dimensions
High Energy Physics - Theory
2015-08-12 v3
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 demonstrate the existence of a candidate a-function for renormalisable Chern-Simons theories in three dimensions, involving scalar and fermion fields, in both non-supersymmetric and supersymmetric cases.
Cite
@article{arxiv.1505.05400,
title = {Gradient flows in three dimensions},
author = {I. Jack and D. R. T. Jones and C. Poole},
journal= {arXiv preprint arXiv:1505.05400},
year = {2015}
}
Comments
15 pages, 2 figures, uses axodraw. Revised with minor corrections; also additional clarifications and references included