BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//talks.cam.ac.uk//v3//EN
BEGIN:VTIMEZONE
TZID:Europe/London
BEGIN:DAYLIGHT
TZOFFSETFROM:+0000
TZOFFSETTO:+0100
TZNAME:BST
DTSTART:19700329T010000
RRULE:FREQ=YEARLY;BYMONTH=3;BYDAY=-1SU
END:DAYLIGHT
BEGIN:STANDARD
TZOFFSETFROM:+0100
TZOFFSETTO:+0000
TZNAME:GMT
DTSTART:19701025T020000
RRULE:FREQ=YEARLY;BYMONTH=10;BYDAY=-1SU
END:STANDARD
END:VTIMEZONE
BEGIN:VEVENT
CATEGORIES:DAMTP Friday GR Seminar
SUMMARY:Emergence of stochastic quasi-classical wavefuncti
on of the Universe from the third quantization pro
cedure - Pavel Ivanov (Lebedev Physical Institute)
DTSTART;TZID=Europe/London:20160318T130000
DTEND;TZID=Europe/London:20160318T140000
UID:TALK64006AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/64006
DESCRIPTION:We study quantized solutions to the Wheeler de Wit
t (WdW) equation\ndescribing a closed Friedmann-Ro
bertson-Walker universe with a Λ term and a\nset o
f massless scalar fields. We show that when Λ ≪1 i
n the natural units\nand the standard in-vacuum st
ate is considered\, either wave function of the\nu
niverse\, Ψ \, or its derivative with respect to t
he scale factor\, a \,\nbehave as random quasiclas
sical fields at sufficiently large values of a.\nT
he former case is realized when 1 ≪a ≪e2/3 Λ \, wh
ile the latter is valid\nwhen a ≫e2/3 Λ . The stat
istical rms value of the wave function is\nproport
ional to the Hartle-Hawking wave function. Alterna
tively\, the\nbehavior of our system at large valu
es of a can be described in terms of a\ndensity ma
trix corresponding to a mixed state\, which is dir
ectly determined\nby statistical properties of Ψ.
We suppose that a similar behavior of Ψ can\nbe fo
und in all models exhibiting copious production of
excitations with\nrespect to the out-vacuum state
associated with classical trajectories at\nlarge
values of a. Thus\, the third quantization procedu
re may provide a\n"boundary condition" for classic
al solutions to the WdW equation. Contrary\nto the
previous proposals\, in our case either Ψ can be
regarded as a\nstochastic classical quantity or th
e system can be viewed as being in a\nmixed state
defined over classical solutions to the WdW equati
on.
LOCATION:Pavilion B Potter Room (B1.19)
CONTACT:
END:VEVENT
END:VCALENDAR