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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: | 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 |
| Related URLs: | |
| URI: | https://mural.maynoothuniversity.ie/id/eprint/10488 |
| 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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