4-7 August 2020
online
Asia/Tokyo timezone

Complex Langevin analysis of four-dimensional SU(2) gauge theory with a theta term

5 Aug 2020, 14:40
20m
online

online

QCD at nonzero Temperature and Density QCD at nonzero Temperature and Density

Speaker

Akira Matsumoto (*) (SOKENDAI, KEK)

Description

The Monte Carlo simulation of the gauge theory with a theta term is difficult due to the sign problem. We use the complex Langevin method to overcome the problem. In our previous work on two-dimensional U(1) gauge theory with a theta term, we were able to reproduce the exact solution by introducing a puncture on the torus. We also proved that the effect of the puncture disappears in the infinite volume limit as long as |θ|<π. In this study, we extend this method to four-dimensional SU(2) gauge theory. Recently the analytic study of 't Hooft anomaly matching condition predicted two possible phase structures around θ=π for this theory. We discuss the possibility of investigating the phase structure by the complex Langevin simulation.

Primary author

Akira Matsumoto (*) (SOKENDAI, KEK)

Co-authors

Presentation Materials