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SUMMARY:Discrete Wheeler DeWitt equation
DTSTART;VALUE=DATE-TIME:20130627T124500Z
DTEND;VALUE=DATE-TIME:20130627T134500Z
DTSTAMP;VALUE=DATE-TIME:20190617T033319Z
UID:indico-event-502@indico.math.cnrs.fr
DESCRIPTION:The infrared structure of quantum gravity is explored by solvi
ng a lattice version of the Wheeler-DeWitt equations. For this talk\, firs
t\, the case of 2+1 dimensions is presented. The wavefunction solutions on
ly depend on the geometric quantities indicating preservation of diffeomor
phism. Properties of the lattice vacuum are consistent with the existence
of an ultraviolet fixed point in G located at the origin\, thus precluding
the existence of a weak coupling perturbative phase. The correlation leng
th exponent is determined exactly and found to be nu=6/11. The results obt
ained lend support to the claim that the Lorentzian and Euclidean formulat
ions belong to the same field-theoretic universality class. I then discuss
some results in 3+1 dimensions. Investigations of the vacuum wave functio
nal further indicate that for weak enough coupling\, G < Gc\, a pathologic
al ground state with no continuum limit appears\, where configurations wit
h small curvature have vanishingly small probability.\n\nhttps://indico.ma
th.cnrs.fr/event/502/
LOCATION:Institut des Hautes Etudes Scientifiques Amphithéâtre Léon Mot
chane
URL:https://indico.math.cnrs.fr/event/502/
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