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UID:82270e9394048cacd7c8d640aef0bbeb
CATEGORIES:Mathematical Physics Seminar
CREATED:20211101T152434
SUMMARY:Comments on Lattice vs. Continuum Quantum Field Theory
LOCATION:Zoom
DESCRIPTION:There is an interesting interplay between continuum quantum field theory (Q
 FT) and lattice systems.  First, as in condensed-matter physics, we start a
 t short distances (UV) with a lattice model and our goal is to find its lon
 g distance (IR) behavior.  The lore is that this behavior is captured by a 
 continuum QFT.  Conversely, as is more common in high-energy physics and ma
 thematical physics, the lattice theory is a first step toward a rigorous de
 finition of the continuum theory.  Despite enormous progress over the past 
 decades, these two directions of the interplay between the lattice and the 
 continuum face interesting challenges.  \nHere, motivated by recently disco
 vered theoretical phases of matter (including the XY-plaquette model and mo
 dels of fractons), we will address two aspects of the relation between the 
 lattice in the UV and the continuum in the IR.\nWe will present lattice mod
 els exhibiting topological properties of continuum theories, like winding s
 ymmetries, ‘t Hooft anomalies, and duality.  We will use this approach to c
 larify the subsystem global symmetries of some of the recently discovered e
 xotic models.  We will also discuss some more dynamical aspects of these sy
 stems and in particular their enigmatic UV/IR mixing; i.e., some long-dista
 nce properties are sensitive to short-distance details.\n
X-ALT-DESC;FMTTYPE=text/html:<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:20260828T070200
DTSTART;TZID=America/New_York:20211103T104500
DTEND;TZID=America/New_York:20211103T114500
SEQUENCE:0
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