Renormalization Group Flow and Parallel Transport with Non-Metric Compatible Connections

Dolan, Brian P. and Lewis, A. (1999) Renormalization Group Flow and Parallel Transport with Non-Metric Compatible Connections.

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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
Divisions: School of Theoretical Physics > Preprints
Date Deposited: 27 Sep 2017 15:43
Last Modified: 18 Dec 2022 02:56
URI: https://dair.dias.ie/id/eprint/36

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