BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Partha Mukhopadhyay (Matscience) DTSTART:20200916T160000Z DTEND:20200916T170000Z DTSTAMP:20260423T023012Z UID:UKYhepth/5 DESCRIPTION:Title: A Covariant Lattice and its Application to String Bits\nby Partha Muk hopadhyay (Matscience) as part of Theoretical Physics Seminars (Kentucky)\ n\n\nAbstract\nWe explore a possibility of constructing lattice theories f rom a basic principle where lattice is viewed as a restriction of the cont inuum. This allows us to derive a discrete derivative\, nonlocal on the la ttice\, that satisfies Liebniz rule. As a result a theorem related to loca lity follows which states that any local equation in the classical continu um theory holds true also locally on the lattice. Using this one is able t o preserve a remnant of all the global and gauge symmetries\, which\, in t wo dimensions\, can be lifted to include local diffeomorphism and Weyl sym metries as well. Consequently\, one is able\, for example\, to carry out c lassical BRST construction of covariant sting bits (for the first time).\n \nThis lattice derivative is\, in some sense\, similar to SLAC derivative discussed earlier in the literature. However\, we point out that its actio n suffers from branch cut ambiguities while acting on Fourier basis. This may indicate that quantization is not straightforward and may have to be d one entirely in position space.\n LOCATION:https://researchseminars.org/talk/UKYhepth/5/ END:VEVENT END:VCALENDAR