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UID:82270e9394048cacd7c8d640aef0bbeb
CATEGORIES:Mathematical Physics Seminar
CREATED:20211101T152434
SUMMARY:Comments on Lattice vs. Continuum Quantum Field Theory
LOCATION:Zoom
DESCRIPTION:<p style="text-align: center; background: white; margin: 0in 0in 7.5pt;">Th
 ere is an interesting interplay between continuum quantum field theory (QFT
 ) and lattice systems.&nbsp; First, as in condensed-matter physics, we star
 t at short distances (UV) with a lattice model and our goal is to find its 
 long distance (IR) behavior.&nbsp; The lore is that this behavior is captur
 ed by a continuum QFT.&nbsp; Conversely, as is more common in high-energy p
 hysics and mathematical physics, the lattice theory is a first step toward 
 a rigorous definition of the continuum theory.&nbsp; Despite enormous progr
 ess over the past decades, these two directions of the interplay between th
 e lattice and the continuum face interesting challenges.&nbsp;&nbsp;</p><p 
 style="text-align: center;">Here, motivated by recently discovered theoreti
 cal phases of matter (including the XY-plaquette model and models of fracto
 ns), we will address two aspects of the relation between the lattice in the
  UV and the continuum in the IR.</p><p style="text-align: center;">We will 
 present lattice models exhibiting topological properties of continuum theor
 ies, like winding symmetries, ‘t Hooft anomalies, and duality.&nbsp; We wil
 l use this approach to clarify the subsystem global symmetries of some of t
 he recently discovered exotic models.&nbsp; We will also discuss some more 
 dynamical aspects of these systems and in particular their enigmatic UV/IR 
 mixing; i.e., some long-distance properties are sensitive to short-distance
  details.</p>
CONTACT:Nathan Seiberg, Institute for Advanced Study
DTSTAMP:20260828T123507
DTSTART;TZID=America/New_York:20211103T104500
DTEND;TZID=America/New_York:20211103T114500
SEQUENCE:0
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