English

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

High Energy Physics - Theory 2015-06-17 v3

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.

Keywords

Cite

@article{arxiv.1310.0588,
  title  = {Stochastic quantization and holographic Wilsonian renormalization group of massless fermions in AdS},
  author = {Jae-Hyuk Oh},
  journal= {arXiv preprint arXiv:1310.0588},
  year   = {2015}
}

Comments

1+15 pages, several typos are corrected