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: | , |
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| Format: | Article |
| Language: | English |
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Elsevier
2017-11-01
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| Series: | Nuclear Physics B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0550321317303139 |
| _version_ | 1811256077167099904 |
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| author | B. Sathiapalan H. Sonoda |
| author_facet | B. Sathiapalan H. Sonoda |
| author_sort | B. Sathiapalan |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-12T17:34:39Z |
| format | Article |
| id | doaj.art-2733b4cd1dc14108bb669b2a1033e523 |
| institution | Directory Open Access Journal |
| issn | 0550-3213 1873-1562 |
| language | English |
| last_indexed | 2024-04-12T17:34:39Z |
| publishDate | 2017-11-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Nuclear Physics B |
| spelling | doaj.art-2733b4cd1dc14108bb669b2a1033e5232022-12-22T03:23:01ZengElsevierNuclear Physics B0550-32131873-15622017-11-01924C60364210.1016/j.nuclphysb.2017.09.018A holographic form for Wilson's RGB. Sathiapalan0H. Sonoda1Institute of Mathematical Sciences, CIT Campus, Tharamani, Chennai 600113, IndiaPhysics Department, Kobe University, Kobe 657-8501, JapanAn 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.http://www.sciencedirect.com/science/article/pii/S0550321317303139 |
| spellingShingle | B. Sathiapalan H. Sonoda A holographic form for Wilson's RG Nuclear Physics B |
| title | A holographic form for Wilson's RG |
| title_full | A holographic form for Wilson's RG |
| title_fullStr | A holographic form for Wilson's RG |
| title_full_unstemmed | A holographic form for Wilson's RG |
| title_short | A holographic form for Wilson's RG |
| title_sort | holographic form for wilson s rg |
| url | http://www.sciencedirect.com/science/article/pii/S0550321317303139 |
| work_keys_str_mv | AT bsathiapalan aholographicformforwilsonsrg AT hsonoda aholographicformforwilsonsrg AT bsathiapalan holographicformforwilsonsrg AT hsonoda holographicformforwilsonsrg |