Cosmological Constant in LQG Vertex Amplitude - INSPIRE

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Cosmological Constant in LQG Vertex Amplitude

Muxin Han
(
- Marseille, CPT
)

May, 2011

4 pages

Published in:

Phys.Rev.D 84 (2011) 064010

e-Print:

1105.2212 [gr-qc]

DOI:

10.1103/PhysRevD.84.064010

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Abstract: (arXiv)

A new q-deformation of the Euclidean EPRL/FK vertex amplitude is proposed by using the evaluation of the Vassiliev invariant associated with a 4-simplex graph (related to two copies of quantum SU(2) group at different roots of unity) embedded in a 3-sphere. We show that the large-j asymptotics of the q-deformed vertex amplitude gives the Regge action with a cosmological constant. In the end we also discuss its relation with a Chern-Simons theory on the boundary of 4-simplex.

02.20.Uw
04.60.Pp
quantum group: SU(2)
quantum gravity: loop space
action: Regge
simplex
cosmological constant
deformation
Chern-Simons term
vertex function

References(24)

Figures(5)

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