Holographic Wilson's RG
In an earlier paper (arXiv:1706.03371) a holographic form of the Exact Renormalization Group (ERG) evolution operator for a (perturbed) free scalar field (CFT) in D dimensions was formulated. It was shown to be equivalent, after a change of variables, to a free scalar field action in AdSD+1 spacetim...
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2019-11-01
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| Series: | Nuclear Physics B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0550321319302536 |
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doaj-335ced7b2ee443c79c38e63ed59a1be62020-11-25T01:31:27ZengElsevierNuclear Physics B0550-32132019-11-01948Holographic Wilson's RGB. Sathiapalan0H. Sonoda1Institute of Mathematical Sciences, CIT Campus, Tharamani, Chennai 600113, India; Homi Bhabha National Institute, Training School Complex, Anushakti Nagar Mumbai 400085, India; Corresponding author.Physics Department, Kobe University, Kobe 657-8501, JapanIn an earlier paper (arXiv:1706.03371) a holographic form of the Exact Renormalization Group (ERG) evolution operator for a (perturbed) free scalar field (CFT) in D dimensions was formulated. It was shown to be equivalent, after a change of variables, to a free scalar field action in AdSD+1 spacetime. We attempt to extend this result to a theory where the scalar field has an anomalous dimension. Instead of the ERG evolution operator, we examine the generating functional with an infrared cutoff, and derive the prescription of alternative quantization by using the change of variables introduced in the previous paper. The anomalous dimension is thus related in the usual way to the mass of the bulk scalar field. Computation of higher point functions remains difficult in this theory, but should be tractable in the large N version.http://www.sciencedirect.com/science/article/pii/S0550321319302536 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
B. Sathiapalan H. Sonoda |
| spellingShingle |
B. Sathiapalan H. Sonoda Holographic Wilson's RG Nuclear Physics B |
| author_facet |
B. Sathiapalan H. Sonoda |
| author_sort |
B. Sathiapalan |
| title |
Holographic Wilson's RG |
| title_short |
Holographic Wilson's RG |
| title_full |
Holographic Wilson's RG |
| title_fullStr |
Holographic Wilson's RG |
| title_full_unstemmed |
Holographic Wilson's RG |
| title_sort |
holographic wilson's rg |
| publisher |
Elsevier |
| series |
Nuclear Physics B |
| issn |
0550-3213 |
| publishDate |
2019-11-01 |
| description |
In an earlier paper (arXiv:1706.03371) a holographic form of the Exact Renormalization Group (ERG) evolution operator for a (perturbed) free scalar field (CFT) in D dimensions was formulated. It was shown to be equivalent, after a change of variables, to a free scalar field action in AdSD+1 spacetime. We attempt to extend this result to a theory where the scalar field has an anomalous dimension. Instead of the ERG evolution operator, we examine the generating functional with an infrared cutoff, and derive the prescription of alternative quantization by using the change of variables introduced in the previous paper. The anomalous dimension is thus related in the usual way to the mass of the bulk scalar field. Computation of higher point functions remains difficult in this theory, but should be tractable in the large N version. |
| url |
http://www.sciencedirect.com/science/article/pii/S0550321319302536 |
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AT bsathiapalan holographicwilsonsrg AT hsonoda holographicwilsonsrg |
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