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SUMMARY:CMSP Seminar (Joint ICTP/SISSA Statistical Physics): Attacking the
Sinh-Gordon model with relativistic continuous matrix product states
DTSTART;VALUE=DATE-TIME:20220705T090000Z
DTEND;VALUE=DATE-TIME:20220705T100000Z
DTSTAMP;VALUE=DATE-TIME:20220930T133242Z
UID:indico-event-9997@ictp.it
DESCRIPTION:\n Antoine Tilloy\n (Mines ParisTech)\n\n Abstract: The Sinh-G
ordon model is a 1+1 dimensional quantum field theory with a potential cos
h(b phi) that is quite peculiar. It is at the same time exactly solvable (
for many observables) and not well understood. I will present the results
of a variational exploration of its strong coupling regime with a recent g
eneralization of continuous matrix product states. The advantage of this m
ethod is that it does not require introducing a cutoff\, UV or IR\, is ful
ly non-perturbative\, typically converges fast for Hamiltonians with polyn
omial interactions\, and gives rigorous energy upper bounds. Its applicati
on to the Sinh-Gordon model is only partly successful: observables can be
computed accurately up to fairly large values of the coupling\, but the ul
tra strong coupling regime remains difficult to access without extrapolati
ons. As a result\, the behavior near the self-dual point is not yet fully
settled. I will show the basics of relativistic continuous matrix product
states\, explain how they typically work for phi^4 like theories or even t
he easier Sine-Gordon model and finally discuss my attempts at taming Sinh
-Gordon. \n\n//indico.ictp.it/event/9997/
LOCATION:Hybrid Seminar Zoom + room 138 SISSA (via Bonomea 265)
URL://indico.ictp.it/event/9997/
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