BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//CERN//INDICO//EN
BEGIN:VEVENT
SUMMARY:Diagrammatic Monte-Carlo simulations of the large N SU(N)xSU(N) pr
incipal chiral model based on the weak-coupling trans-series expansion
DTSTART;VALUE=DATE-TIME:20160725T164500Z
DTEND;VALUE=DATE-TIME:20160725T170500Z
DTSTAMP;VALUE=DATE-TIME:20211128T122400Z
UID:indico-contribution-2718@conference.ippp.dur.ac.uk
DESCRIPTION:Speakers: Pavel Buividovich (Regensburg University)\nI present
a Diagrammatic Monte-Carlo algorithm for the large N SU(N)xSU(N) principa
l chiral model\, which stochastically samples planar Feynman diagrams of t
he lattice perturbation theory. The latter is constructed using the Cayley
map from SU(N) group manifold to the space of Hermitian matrices. I demon
strate that the Jacobian of this map results in the massive bare lattice p
ropagator with the mass proportional to the bare coupling. This bare mass
term ensures that perturbative series are IR finite and do not have factor
ial divergences at high orders\, which makes the series suitable for Monte
-Carlo sampling and stochastic summation. On the other hand\, since the ba
re mass is proportional to the coupling itself\, the expansion is no longe
r an expansion in powers of coupling\, but rather has the form of trans-se
ries involving both powers and logs of coupling. I discuss possible resurg
ent structure of these trans-series\, the strength of the sign problem in
Monte-Carlo sampling\, as well as the extension of the present approach to
lattice gauge theory.\nhttps://conference.ippp.dur.ac.uk/event/470/contri
butions/2718/
LOCATION:Building 67 Room 1003 (Highfield Campus\, University of Southampt
on)
RELATED-TO:indico-event-470@conference.ippp.dur.ac.uk
URL:https://conference.ippp.dur.ac.uk/event/470/contributions/2718/
END:VEVENT
END:VCALENDAR