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SUMMARY:Lorentzian Methods in Conformal Field Theory (3/4)
DTSTART;VALUE=DATE-TIME:20191011T080000Z
DTEND;VALUE=DATE-TIME:20191011T100000Z
DTSTAMP;VALUE=DATE-TIME:20200225T163300Z
UID:indico-event-4311@indico.math.cnrs.fr
DESCRIPTION:\n\n\n\n\n\nParaphrasing Alexander Polyakov\, "Conformal Field
Theory is a way to learn about elementary particles by studying boiling w
ater".\nThere is a technical statement behind this joke: Euclidean Conform
al Field Theory\, under certain conditions\, can be rotated to the Lorentz
ian signature\, and vice versa. This means that even statistical physicist
s studying finite-temperature phase transitions on a lattice should learn
about the Minkowski space! The goal of this course will be to explain vari
ous classical and recent results pertaining to this somewhat surprising co
nclusion.\n\nPlan of the course:\n- elementary introduction to Euclidean C
FT in d>2 dimensions\n- the Osterwalder-Schrader theorem about the Wick ro
tation of general reflection-positive Euclidean Quantum Field Theories\, a
nd its limitations\n- the Luescher-Mack theorem about continuation of CFT
correlation functions to the Lorentzian cylinder\, and its limitations\n-
recent results about the analytic structure of Lorentzian CFT correlators\
n\n\n\n\n\n\n\nhttps://indico.math.cnrs.fr/event/4311/
LOCATION:IPhT Salle Claude Itzykson
URL:https://indico.math.cnrs.fr/event/4311/
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