Stochastic renormalization group and gradient flow

Journal of High Energy Physics

Andrea Carosso¹ 

[1] Department of Physics, University of Colorado;

关键词: Renormalization Group;    Lattice Quantum Field Theory;    Stochastic Processes;   

DOI  :  10.1007/JHEP01(2020)172

来源: DOAJ

【 摘 要 】

Abstract A non-perturbative and continuous definition of RG transformations as stochastic processes is proposed, inspired by the observation that the functional RG equations for effective Boltzmann factors may be interpreted as Fokker-Planck equations. The result implies a new approach to Monte Carlo RG that is amenable to lattice simulation. Long-distance correlations of the effective theory are shown to approach gradient-flowed correlations, which are simpler to measure. The Markov property of the stochastic RG transformation implies an RG scaling formula which allows for the measurement of anomalous dimensions when transcribed into gradient flow expectation values.

【 授权许可】

Unknown