4-7 August 2020
Asia/Tokyo timezone

Application of the tempered Lefschetz thimble method to a chiral random matrix model

5 Aug 2020, 16:20


Algorithms, machines, and code development Algorithms, machines, and code development


Nobuyuki Matsumoto (*) (Kyoto University)


Monte Carlo simulations of finite density QCD is plagued by the sign problem. The tempered Lefschetz thimble method (TLTM) [Fukuma-Umeda(1703.00861)] is a promising algorithm towards solving the sign problem, where the integration region is deformed into the complex space and the system is parallel-tempered with the flow time so as to solve both sign and ergodicity problems simultaneously. In this talk, we apply the TLTM to a chiral random matrix model, which models finite density QCD in the large N limit. We show that the TLTM correctly reproduces exact results for small N and discuss the scaling of the computational cost as N increases [Fukuma-NM-Umeda(in preparation)]. We also explain how to implement HMC algorithm to the TLTM [Fukuma-NM-Umeda(1912.13303)].

Primary author

Nobuyuki Matsumoto (*) (Kyoto University)


Presentation Materials