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SUMMARY:Deconfinement from Thermal Tensor Networks: Universal CFT signatur
 e in (2+1)-dimensional ${\\mathbb Z}_N$ lattice gauge theory
DTSTART:20260716T124500Z
DTEND:20260716T140000Z
DTSTAMP:20260710T025500Z
UID:indico-event-16932@indico.math.cnrs.fr
CONTACT:cecile@ihes.fr
DESCRIPTION:Speakers: Jutho Haegeman (Ghent University)\n\nTensor networks
  offer a sign-problem-free approach to study lattice gauge theories\, but 
 extracting precise universal information associated with the deconfinement
  transition remains challenging. In this work\, we study the deconfinement
  transition of (2+1)-dimensional ${\\mathbb Z}_N$ lattice gauge theories a
 t finite temperature using a thermal tensor network approach\, where the p
 artition functions at finite temperature are formulated as three-dimension
 al tensor networks. These tensor networks are first contracted in the temp
 oral direction\, and the subsequent coarse-graining in the spatial directi
 ons yields a renormalized transfer matrix\, the spectrum of which directly
  encodes the universal conformal field theory data. In particular\, by num
 erically extracting the central charge and scaling dimensions\, we verify 
 that the universality class of the thermal deconfinement transition matche
 s the prediction of the Svetitsky-Yaffe conjecture for N = 2\, 3\, 5. Mor
 eover\, we show that the ${\\mathbb Z}_5$ theory at finite temperature exh
 ibits an intermediate phase with an emergent U(1) symmetry. Critical coupl
 ings are determined via Gu-Wen ratios and agree with existing Monte Carlo 
 simulations. Finally\, extrapolating these critical couplings at finite te
 mperature enables us to determine the deconfinement transition points for 
 N = 2\, 3 at zero temperature.\n \nPour être informé des prochains sém
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LOCATION:Amphithéâtre Léon Motchane (IHES)
URL:https://indico.math.cnrs.fr/event/16932/
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