BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Samuel Goldman (UIUC) DTSTART:20230509T193000Z DTEND:20230509T203000Z DTSTAMP:20260423T005658Z UID:HET/52 DESCRIPTION:Title: Exa ct Renormalization and its Application to Quantum States\nby Samuel Go ldman (UIUC) as part of Purdue HET\n\n\nAbstract\nThe exact renormalizatio n group (ERG) is a general tool for implementing the Wilsonian idea that p hysics is independent of our parametrization of the degrees of freedom. In its original formulation\, it is simply a manifestation of the invariance of path integrals with respect to the choice of field variable. More rece ntly\, ERG methods have been generalized to objects derived from path inte grals\, such as wavefunctionals. We extend these ideas in two complementar y ways which demonstrate the flexibility of ERG\n\nin the context of quant um states. In one scheme which uses multiple regulators\, we obtain a clas s of unitary wavefunctional flows\, a subset of which are the so-called co ntinuous MERA networks. In a parallel investigation\, we consider the ERG for density operators and find that the non-locality generated along flows introduces non-unitary contributions to the state. The description of thi s non-unitarity takes the form of a quantum Markov semigroup. These result s have a variety of potential applications\, such as the construction of i nteracting and non-unitary cMERA networks\, as well as extending our under standing of emergent geometry and renormalization in both holographic and non-holographic contexts.\n LOCATION:https://researchseminars.org/talk/HET/52/ END:VEVENT END:VCALENDAR