BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Djordje Radicevic (Brandeis) DTSTART:20201019T190000Z DTEND:20201019T200000Z DTSTAMP:20260423T021446Z UID:WHCGP/23 DESCRIPTION:Title: T he Lattice-Continuum Correspondence in Quantum Mechanics\nby Djordje R adicevic (Brandeis) as part of Western Hemisphere colloquium on geometry a nd physics\n\n\nAbstract\nIt is very well known that long-distance correla tion functions of many lattice systems can be calculated from continuum QF Ts. Making this correspondence more precise --- identifying continuum oper ators that correspond to individual lattice operators\, or exhibiting the lattice origins of subtler continuum phenomena like operator product expan sions --- has proven quite daunting. In this talk\, I will report on recen t progress in this direction\, using quantum mechanics (QFT in 0+1 dimensi ons) as an example. I will show how a finite but large quantum system can be systematically reduced to an Ersatz continuum theory\, using both Hamil tonian and path integral formalisms. Along the way I will point out the la ttice origins of several familiar continuum concepts\, including contact t erms\, scale invariance\, and the distinction between compact and noncompa ct theories. I will also stress the limitations imposed on the emergent co ntinuum theory by its lattice progenitor --- for instance\, any supersymme tric continuum theory emerging from a finite theory must have a vanishing Witten index.\n LOCATION:https://researchseminars.org/talk/WHCGP/23/ END:VEVENT END:VCALENDAR