BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//CERN//INDICO//EN
BEGIN:VEVENT
SUMMARY:On the condition for correct convergence in the complex Langevin m
ethod
DTSTART;VALUE=DATE-TIME:20160726T163000Z
DTEND;VALUE=DATE-TIME:20160726T165000Z
DTSTAMP;VALUE=DATE-TIME:20200703T142643Z
UID:indico-contribution-2482@conference.ippp.dur.ac.uk
DESCRIPTION:Speakers: Shinji Shimasaki (Keio University)\nThe complex Lang
evin method (CLM) is a promising way to perform the path integral with a c
omplex action based on a stochastic equation for complexified dynamical va
riables. It is known\, however\, that the CLM gives wrong results in some
cases\, while it works\, for instance\, in finite density QCD in the decon
finement phase or in the heavy dense limit. In this talk\, we revisit this
issue starting with a finite Langevin step-size. We find that there is a
subtlety in taking the zero step-size limit\, although the previous argume
nt used a continuous time from the beginning. Also there is a subtlety in
using the time-evolved observables\, which play a crucial role in the argu
ment. These subtleties require that the probability distribution of the dr
ift term should be suppressed exponentially at large magnitude. We demonst
rate our claim in some examples including chiral Random Matrix Theory and
show that our criterion is indeed useful in judging whether the results ob
tained by the CLM are trustable or not.\n\nhttps://conference.ippp.dur.ac.
uk/event/470/contributions/2482/
LOCATION:Highfield Campus\, University of Southampton Building 32 Room 101
5
URL:https://conference.ippp.dur.ac.uk/event/470/contributions/2482/
END:VEVENT
END:VCALENDAR