Loop quantum cosmology and spin foams

Abhay Ashtekar, Miguel Campiglia, Adam Henderson

Research output: Contribution to journalArticle

65 Scopus citations

Abstract

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.

Original languageEnglish (US)
Pages (from-to)347-352
Number of pages6
JournalPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume681
Issue number4
DOIs
StatePublished - Nov 9 2009

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

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