Geodesic Renormalisation Group Flow

Details Geodesic Renormalisation Group Flow Geodesic Renormalisation Group Flow

1995-11-24

arxiv.org/abs/hep-th/9511175v2

Int.J.Mod.Phys. A12 (1997) 2413-2424

Physics

High Energy Physics

High Energy Physics - Theory

PlainTeX file, 11 pages, 5 figures

Scientific paper

10.1142/S0217751X97001407

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 $D \neq 2$ 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.

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