TL;DR
This paper reviews numerical simulation techniques for quantum field theories using Langevin dynamics, focusing on algorithmic improvements and their theoretical connections.
Contribution
It provides a comprehensive overview of Langevin-based simulation methods, including renormalization, acceleration techniques, and relations to hybrid algorithms.
Findings
Analysis of finite step-size renormalization effects
Discussion of Fourier acceleration benefits
Connections between Langevin and hybrid Monte Carlo methods
Abstract
This chapter [of a supplement to Prog. Theo. Phys.] reviews numerical simulations of quantum field theories based on stochastic quantization and the Langevin equation. The topics discussed include renormalization of finite step-size algorithms, Fourier acceleration, and the relation of the Langevin equation to hybrid stochastic algorithms and hybrid Monte Carlo.
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