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X-FROM-URL:https://eom.sdu.dk/events/ical/bf3d2191-3f20-482b-9869-1fba8092
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X-WR-CALNAME:QM Research Seminar: Tropical QFT and the sine-Gordon model
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TZID:Europe/Copenhagen
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DTSTAMP:20261109T165319Z
DTSTART:20261028T030000
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DESCRIPTION:[b]Speaker: Jury Ivan Radkovski [/b](​University of Copenhagen
 ).\n\n[b]Abstract: [/b]\nA tropical quantum field theory is an exactly so
 lvable deformation limit of an ordinary QFT\, governed by a non-linear pa
 rtial differential equation. We use the integrable two-dimensional sine-G
 ordon theory as a testbench to compare the exact features of an undeforme
 d model with its tropical counterpart. We classify scale-invariant tropic
 al QFTs in[i] D = 2[/i] and leverage functional renormalization group met
 hods to demonstrate that all scale-invariant theories with periodic effec
 tive actions are infrared fixed points of flows originating from sine-Gor
 don Lagrangians. For the tropical sine-Gordon model\, we compute the β-fu
 nctions exactly\, solve the renormalized theory both via a convergent exp
 ansion and numerically for all admissible couplings\, and illustrate the 
 complete renormalization group flow from the Gaussian to the IR fixed poi
 nt. Finally\, we study the large-order behaviour of the loop expansion an
 d relate it to the Hamilton-Jacobi equation\, whose solutions we interpre
 t as tropical instantons.
DTEND:20261130T150000Z
DTSTAMP:20261109T165319Z
DTSTART:20261130T140000Z
LOCATION:Syddansk Universitet\, Campusvej 55\, 5230\, Odense M
SEQUENCE:0
SUMMARY:QM Research Seminar: Tropical QFT and the sine-Gordon model
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