Jul 26 – 30, 2021
US/Eastern timezone

Complex Langevin: Boundary Terms at Poles

Jul 28, 2021, 5:15 AM
15m
Oral presentation Theoretical developments and applications beyond particle physics Theoretical developments and applications beyond particle physics

Speaker

Erhard Seiler (Max-Planck-Institut für Physik (Werner-Heisenberg-Institut), Munich)

Description

The complex Langevin method is a general method to treat systems with
complex action, such as QCD at finite density. The formal justification
relies on the absence of certain boundary terms, both at infinity and at
the unavoidable poles of the drift force. In this talk I focus on the
boundary terms at poles for simple models, which so far have not been
discussed in detail. The main result is that those boundary terms arise
after running the Langevin process for a finite time and vanish again as
the Langevin time goes to infinity. This is in contrast to the boundary
terms at infinity, which can be found to occur in the long time limit (cf
the talk by D\'enes Sexty).

Primary author

Erhard Seiler (Max-Planck-Institut für Physik (Werner-Heisenberg-Institut), Munich)

Presentation materials