Aug 4 – 7, 2020
Asia/Tokyo timezone

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

Aug 5, 2020, 2:40 PM


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


Akira Matsumoto (*) (SOKENDAI, KEK)


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)


Presentation materials