Stochastic quantization of conformally coupled scalar in AdS

Abstract

We explore the relation between stochastic quantization and holographic Wilsonian renormalization group flow further by studying conformally coupled scalar in $Ad{S}_{d+1}$. We establish one to one mapping between the radial flow of its double trace deformation and stochastic 2-point correlation function. This map is shown to be identical, up to a suitable field re-definition of the bulk scalar, to the original proposal in arXiv:1209.2242.

1+19 pages

References in corpus (10)

• Holographic and Wilsonian Renormalization Groups
• Holographic renormalization as a canonical transformation
• Conformally Coupled Scalars, Instantons and Vacuum Instability in AdS_4
• Relating Field Theories via Stochastic Quantization
• New Massive Gravity and AdS_4 counterterms
• Electric-magnetic Duality and Deformations of Three-Dimensional CFT's
• Stochastic quantization and holographic Wilsonian renormalization group
• The Jarzynski Identity and the AdS/CFT Duality
• Boundary conditions for SU(2) Yang-Mills on $Ad{S}_4$
• Stochastic Quantization of the Time-Dependent Harmonic Oscillator

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${}_6$
• Instantons and the Hartle-Hawking-Maldacena Proposal for dS/CFT
• On holographic Wilsonian renormalization group of massive scalar theory with its self-interactions in AdS
• 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