Volume 363 - 37th International Symposium on Lattice Field Theory (LATTICE2019) - Main session
Stochastic Renormalization Group and Gradient Flow in Scalar Field Theory
A. Carosso,* A. Hasenfratz, E.T. Neil
*corresponding author
Full text: pdf
Pre-published on: January 04, 2020
Published on: August 27, 2020
Abstract
Recently, the connections between gradient flow and renormalization group have been explored analytically and numerically. Gradient flow (when modified by a field rescaling) can be characterized as a continuous blocking transformation. In this work, we draw a connection between gradient flow and functional renormalization group by describing how FRG can be represented by a stochastic process, and how the stochastic observables relate to gradient flow observables. The relation implies correlator scaling formulae that can be applied numerically in lattice simulations. We present preliminary results on anomalous dimensions obtained from such measurements in the context of 3-dimensional lattice $\phi^4$ theory.
DOI: https://doi.org/10.22323/1.363.0287
How to cite

Metadata are provided both in "article" format (very similar to INSPIRE) as this helps creating very compact bibliographies which can be beneficial to authors and readers, and in "proceeding" format which is more detailed and complete.

Open Access