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Dolan, Brian P. (1997) Geodesic renormalization group flow. Working Paper. arXiv.
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Abstract
It is shown that the renormalisation group flow in coupling constant space can be interpreted in terms of a dynamical equation for the couplings analogous to viscous fluid flow under the action of a potential. For free scalar field theory the flow is geodesic in two dimensions, while for D≠2 it is only geodesic in certain limits, e.g. for vanishing external source. For the 1-D Ising model the renormalisation flow is geodesic when the external magnetic field vanishes.
| Item Type: | Monograph (Working Paper) |
|---|---|
| Keywords: | Geodesic; renormalization group flow; coupling constant space; |
| Academic Unit: | Faculty of Science and Engineering > Mathematical Physics |
| Item ID: | 10501 |
| Identification Number: | 10.1142/S0217751X97001407 |
| Depositing User: | Dr. Brian Dolan |
| Date Deposited: | 18 Feb 2019 16:38 |
| Publisher: | arXiv |
| Related URLs: | |
| 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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