24-30 July 2016
Highfield Campus, University of Southampton
Europe/London timezone

Lefschetz-thimble approach to the Silver Blaze problem of one-site fermion model

27 Jul 2016, 09:20
20m
Building 32 Room 1015 (Highfield Campus, University of Southampton)

Building 32 Room 1015

Highfield Campus, University of Southampton

Talk Nonzero Temperature and Density Nonzero Temperature and Density

Speaker

Dr Yuya Tanizaki (RIKEN BNL Research Center)

Description

Path integral on Lefschetz thimbles gets much attention in the context of the sign problem, because of its usefulness in order to study the system with the complex classical action nonperturbatively. After giving its brief introduction, it is applied for studying the sign problem of the one-site Hubbard model. This model has a severe sign problem, which looks quite similar to that of the finite-density QCD at low temperatures. We present the analytical study of the sign problem using the Lefschetz-thimble method, and also discuss the failure of the complex Langevin method. Furthermore, we give a speculation about the early-onset problem of the baryon number density, called the baryon Silver Blaze problem, based on similarity between the sign problems of one-site Hubbard model and of finite-density QCD.

Primary author

Dr Yuya Tanizaki (RIKEN BNL Research Center)

Co-authors

Dr Tomoya Hayata (Chuo University) Dr Yoshimasa Hidaka (RIKEN)

Presentation Materials