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arXiv · 1310.0588

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

Jae-Hyuk Oh
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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.

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Jae-Hyuk Oh. 2013-10-02. Stochastic quantization and holographic Wilsonian renormalization group of massless fermions in AdS. https://doi.org/10.1142/s0217751x14500821

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