BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Andreas Stergiou (Los Alamos National Laboratory) DTSTART:20201006T140000Z DTEND:20201006T150000Z DTSTAMP:20260513T213955Z UID:CCTP_HEP/15 DESCRIPTION:Title: Uncovering the Structure of the ε Expansion\nby Andreas Stergiou (L os Alamos National Laboratory) as part of CCTP HEP Seminars\n\n\nAbstract\ nThe ε expansion was invented almost 50 years ago and has been used exten sively ever since to quantitatively describe critical phenomena. Its most famous applications are found in theories involving scalar fields in 4− ε dimensions. In this talk\, we will be interested in the structure of th e ε expansion of scalar field theories and the fixed points that can be o btained within it. Our motivation is based on the goal of classifying conf ormal field theories in d=3 dimensions. We will describe recently discover ed universal constraints obtained within the framework of the ε expansion \, focusing mostly on the 4−ε case although 3−ε will also be discuss ed. It will be shown that a “heavy handed" way to search for fixed point s yields a plethora of new fixed points that reveal aspects of the structu re of the ε expansion and suggest that a classification of conformal fiel d theories in d=3 is likely to be very non trivial. (Based on arXiv:1707.0 6165\, arXiv:1810.10541 and upcoming work with Hugh Osborn.\n LOCATION:https://researchseminars.org/talk/CCTP_HEP/15/ END:VEVENT END:VCALENDAR