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SUMMARY:Jing-Yuan Chen [NT/RBRC] Explorations from a New Understanding of 
 Lattice QFT
DTSTART:20260109T160000Z
DTEND:20260109T180000Z
DTSTAMP:20260311T034700Z
UID:indico-event-30932@indico.bnl.gov
DESCRIPTION:In recent years I have been developing and promoting a new fra
 mework to understand what a lattice QFT “really is” in relation to con
 tinuum QFT\, based on the mathematical language of higher category theory.
  Long standing problems in the lattice community——those of unambiguous
 ly defining topological operators on the lattice\, most notably instanton 
 density in lattice QCD——are solved by refining the traditional models 
 using this language in a natural and necessary manner. (Last March I gave 
 a talk on this at BNL.)In this talk I will introduce some interesting expl
 orations as we begin to implement these ideas into actual numerics. I will
  first focus on our new explorations on a previously known refined model: 
 the CP^N model with Villainized U(1) gauge field. I will explain why this 
 refined model can solve the notorious problem of dislocation in topologica
 l susceptibility\, and how we may benchmark the effectiveness of the ansat
 z of its action via numerical renormalization. Then\, I will discuss how t
 hese explorations can help us with our crucial task in the next step——
 the actual numerical implementation of the categorically refined lattice Y
 ang-Mills theory\, with which we might (not sure yet\, and hoping for seri
 ous discussions) be able to circumvent the notorious problem of topologica
 l freezing.\n\nhttps://indico.bnl.gov/event/30932/
LOCATION:CFNS Library (https://bnl.zoomgov.com/j/1614715193?pwd=WkwxODVWdz
 Zzb29zQnZRVGp3VTBDQT09)
URL:https://indico.bnl.gov/event/30932/
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