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Stochastic quantization and holographic Wilsonian renormalization group of massless fermions in AdS

Authors
Oh, Jae-Hyuk
Issue Date
Jul-2014
Publisher
World Scientific Publishing Co
Keywords
Gauge/gravity duality; renormalization group; stochastic quantization
Citation
International Journal of Modern Physics A, v.29, no.17, pp 1 - 16
Pages
16
Indexed
SCIE
SCOPUS
Journal Title
International Journal of Modern Physics A
Volume
29
Number
17
Start Page
1
End Page
16
URI
https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/143351
DOI
10.1142/S0217751X14500821
ISSN
0217-751X
1793-656X
Abstract
We have studied holographic Wilsonian renormalization group (HWRG) of free massless fermionic fields in AdS space and its stochastic quantization (SQ) by identifying the Euclidean action with its boundary on-shell action. The natural extension of the relation between stochastic two-point correlation function and double trace coupling obtained from HWRG computation conjectured in [J.-H. Oh and D. P. Jatkar, J. High Energy Phys. 1211, 144 (2012) arXiv: 1209.2242] to fermionic fields is established. We have confirmed that the stochastic two-point function precisely captures the radial flow of the double trace coupling via this relation.
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