A Holographic form for Wilson's RG
Abstract
An attempt is made to make precise the connection between Wilson's RG and "Holographic RG" by writing Wilson's RG in a holographic form. A functional formulation is given for the exact RG evolution of a scalar field in (flat) dimensions. It is shown that a change of variables maps the action to that for a scalar field in . This provides a holographic form for Wilson's RG that can be called "Holographic RG". This mapping can only be done for a specific form of the cutoff function in the Exact Renormalization Group formalism. The notion of scale and conformal invariance in the presence of a {\em finite} UV cutoff is emphasized. The discussion is primarily about the two-point function and the Gaussian fixed point. Some remarks are made about nontrivial fixed points.
Keywords
Cite
@article{arxiv.1706.03371,
title = {A Holographic form for Wilson's RG},
author = {B. Sathiapalan and Hidenori Sonoda},
journal= {arXiv preprint arXiv:1706.03371},
year = {2018}
}
Comments
48 pages