Work

How does Gauge Cooling Stabilize Complex Langevin?

Year: 2020

Type: article

Abstract: We study the mechanism of the gauge cooling technique to stabilize the complex Langevin method in the one-dimensional periodic setting. In this case, we find the exact solutions for the gauge transform which minimizes the Frobenius norm of link variables. Thereby, we derive the underlying stochastic differential equations by continuing the numerical method with gauge cooling, and thus provide a number of insights on the effects of gauge cooling. A specific case study is carried out for the Polyakov loop model in SU(2) theory, in which we show that the gauge cooling may help form a localized distribution to guarantee there is no excursion too far away from the real axis.

Source: Communications in Computational Physics

DOI: 10.4208/cicp.oa-2019-0126

Authors: Zhenning Cai, Yana Di, Xiaoyu Dong

Institutions: National University of Singapore, Beijing Normal-Hong Kong Baptist University, Chinese Academy of Sciences, Academy of Mathematics and Systems Science

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

Funders: National University of Singapore, National Natural Science Foundation of China

Awards: G1023311668, G3680760873, G4443647555, G6370146328