School of Astronomy (SoA) - Weekly Seminar
Dimensional
reduction of 4d spin
foam model or adding
non-gravitational
fields to 3d spin
foam model
By: Somayeh Fani (Alzahra
Univ. )
Wednesday /
29-June-2011 /
8-Tir-1390/ 2:00 PM
IPM Larak
Building-Seminar
Room
Address:
Larak Garden,
opposite Araj,
Artesh
Highway,Tehran, Iran
E-mail:
astro(at)ipm.ir
abstract:
In language of
loop quantum
gravity, 4d and
3d space-time
can
be constructed by
4d and 3d spinfoam
models
respectively. We
consider a
Kaluza-Klein
like approach
for a 4d spin
foam model. We
apply this
approach to a 4d
TOCY model based
on group field
theory; and
using the Peter-Weyl
expansion of the
gravitational
field then
we reconstruct at
once a 3d
simplicial
complex
representing
spacetime and
its
geometry; like
in the
Ponzano-Regge
formulation of
pure 3d quantum
gravity plus
the Feynman
graph for matter
like fields.
Thus We find a
mechanism for
generation of
matter and new
dimensions from
pure gravity.