A holographic form for Wilson's RG
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 d (flat) dimensions. It is shown that a change of variables maps the ac...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2017-11-01
|
| Series: | Nuclear Physics B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0550321317303139 |
| Summary: | 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 d (flat) dimensions. It is shown that a change of variables maps the action to that for a scalar field in AdSd+1. 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 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. |
|---|---|
| ISSN: | 0550-3213 1873-1562 |