Derivation of a gradient flow from the exact renormalization group

Sonoda, Hidenori (Physics Department, Kobe University, Kobe 657-8501, Japan) ; Suzuki, Hiroshi (Department of Physics, Kyushu University, 744 Motooka, Nishi-Ku, Fukuoka 819-0395, Japan)

09 April 2019

Abstract: We establish a concrete correspondence between a gradient flow and the renormalization group flow for a generic scalar field theory. We use the exact renormalization group formalism with a particular choice of the cutoff function.


Published in: PTEP 2019 (2019) 033B05
Published by: Oxford University Press/Physical Society of Japan
DOI: 10.1093/ptep/ptz020
arXiv: 1901.05169
License: CC-BY-3.0



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