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

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 2-point correlation function and double trace coupling obtained from HWRG computation conjectured in arXiv:1209.2242 to fermionic fields is established. We have confirmed that the stochastic 2-point function precisely captures the radial flow of the double trace coupling via this relation.

1+15 pages, several typos are corrected

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Cited by in corpus (7)

• Stochastic quantization and holographic Wilsonian renormalization group of free massive fermion
• Stochastic quantization and holographic Wilsonian renormalization group of scalar theories with arbitrary mass
• 4-point function from conformally coupled scalar in AdS${}_6$
• On holographic Wilsonian renormalization group of massive scalar theory with its self-interactions in AdS
• Stochastic quantization and holographic Wilsonian renormalization group of conformally coupled scalar in AdS${}_4$
• First order formalism of holographic Wilsonian renormalization group: Langevin equation
• Stochastic quantization and holographic Wilsonian renormalization group of scalar theory with generic mass, self-interaction and multiple trace deformation