Loop Quantum Cosmology and Spin Foams
Sep, 200911 pages
Published in:
- Phys.Lett.B 681 (2009) 347-352
e-Print:
- 0909.4221 [gr-qc]
Report number:
- IGC-09-9-1
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Citations per year
Abstract: (Elsevier)
Loop quantum cosmology (LQC) is used to provide concrete evidence in support of the general paradigm underlying spin foam models (SFMs). Specifically, it is shown that: (i) the physical inner product in the timeless framework equals the transition amplitude in the deparameterized theory; (ii) this quantity admits a vertex expansion a la SFMs in which the M -th term refers just to M volume transitions, without any reference to the time at which the transition takes place; (iii) the exact physical inner product is obtained by summing over just the discrete geometries; no ‘continuum limit’ is involved; and, (iv) the vertex expansion can be interpreted as a perturbative expansion in the spirit of group field theory. This sum over histories reformulation of LQC also addresses certain other issues which are briefly summarized.- 98.80.Qc
- 03.65.Sq
- 04.60.Pp
- 04.60.Kz
- quantum cosmology: loop space
- spin: foam
- geometry: discrete
- expansion: vertex
- Friedman model
- perturbation theory
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