Geodesic Renormalisation Group Flow

Dolan, Brian P. (1995) Geodesic Renormalisation Group Flow. (Preprint)

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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:	Article
Divisions:	School of Theoretical Physics > Preprints
Date Deposited:	19 Jun 2018 14:05
Last Modified:	18 Jul 2018 13:10
URI:	http://dair.dias.ie/id/eprint/660

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