BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Nathan Seiberg (IAS) DTSTART:20210927T190000Z DTEND:20210927T200000Z DTSTAMP:20260423T035826Z UID:WHCGP/39 DESCRIPTION:Title: C omments on Lattice vs. Continuum Quantum Field Theory\nby Nathan Seibe rg (IAS) as part of Western Hemisphere colloquium on geometry and physics\ n\n\nAbstract\nThere is an interesting interplay between continuum quantum field theory (QFT) and lattice systems. First\, as in condensed-matter ph ysics\, we start at short distances (UV) with a lattice model and our goal is to find its long distance (IR) behavior. The lore is that this behavio r is captured by a continuum QFT. Conversely\, as is more common in high-e nergy physics and mathematical physics\, the lattice theory is a first ste p toward a rigorous definition of the continuum theory. Despite enormous p rogress over the past decades\, these two directions of the interplay betw een the lattice and the continuum face interesting challenges. \n\nHere\, motivated by recently discovered theoretical phases of matter (including t he XY-plaquette model and models of fractons)\, we will address two aspect s of the relation between the lattice in the UV and the continuum in the I R. We will present lattice models exhibiting topological properties of con tinuum theories\, like winding symmetries\, ‘t Hooft anomalies\, and dua lity. We will use this approach to clarify the subsystem global symmetries of some of the recently discovered exotic models. We will also discuss so me more dynamical aspects of these systems and in particular their enigmat ic UV/IR mixing\; i.e.\, some long-distance properties are sensitive to sh ort-distance details.\n LOCATION:https://researchseminars.org/talk/WHCGP/39/ END:VEVENT END:VCALENDAR