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arXiv · hep-th/9511175

Geodesic Renormalisation Group Flow

Brian P. Dolan
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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 $D \neq 2$ 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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Brian P. Dolan. 1995-11-27. Geodesic Renormalisation Group Flow. https://doi.org/10.1142/s0217751x97001407

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