Work

Regularization of the complex Langevin method

Year: 2022

Type: article

Abstract: The complex Langevin method, a numerical method used to compute the ensemble average with a complex partition function, often suffers from runaway instability. We study the regularization of the complex Langevin method via augmenting the action with a stabilization term. Since the regularization introduces biases to the numerical result, two approaches, named $2R$ and $3R$ methods, are introduced to recover the unbiased result. The $2R$ method supplements the regularization with regression to estimate the unregularized ensemble average, and the $3R$ method reduces the computational cost by coupling the regularization with a reweighting strategy before regression. Both methods can be generalized to the $SU(n)$ theory and are assessed from several perspectives. Several numerical experiments in the lattice field theory are carried out to show the effectiveness of our approaches.

Source: Physical review. D/Physical review. D.

DOI: 10.1103/physrevd.105.014508

Authors: Zhenning Cai, Yang Kuang, Hong Kiat Tan

Institutions: National University of Singapore, Guangdong University of Technology, University of California, Los Angeles

Language: English

Topic: Quantum Chromodynamics and Particle Interactions

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funder: Ministry of Education - Singapore

Award: G6603502328