Dolan, Brian P. and Lewis, Alex (1999) Renormalization group flow and parallel transport with non-metric compatible connections. Physics Letters B, 469 (3-4). pp. 302-306. ISSN 0370-2693

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Abstract

A family of connections on the space of couplings for a renormalizable field theory is defined. The connections are obtained from a Levi-Civita connection, for a metric which is a generalisation of the Zamolodchikov metric in two dimensions, by adding a family of tensors which are solutions of the renormalization group equation for the operator product expansion co-efficients. The connections are torsion free, but not metric compatible in general. The renormalization group flows of N=2 supersymmetric Yang-Mills theory in four dimensions and the O(N)-model in three dimensions, in the large N limit, are analysed in terms of parallel transport under these connections.

Item Type:	Article
Keywords:	Renormalization group flow; parallel transport; non-metric compatible connections; renormalizable field theory;
Academic Unit:	Faculty of Science and Engineering > Mathematical Physics
Item ID:	10488
Identification Number:	https://doi.org/10.1016/S0370-2693(99)00792-3
Depositing User:	Dr. Brian Dolan
Date Deposited:	15 Feb 2019 10:35
Journal or Publication Title:	Physics Letters B
Publisher:	Elsevier
Refereed:	Yes
URI:	https://www.sciencedirect.com
Use Licence:	This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here

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