Casting loop quantum cosmology in the spin foam paradigm

Abhay Ashtekar, Miguel Campiglia, Adam Henderson

Research output: Contribution to journalArticlepeer-review

73 Scopus citations

Abstract

The goal of spin foam models is to provide a viable path integral formulation of quantum gravity. Because of background independence, their underlying framework has certain novel features that are not shared by path integral formulations of familiar field theories in Minkowski space. As a simple viability test, these features were recently examined through the lens of loop quantum cosmology (LQC). Results of that analysis, reported in a brief communication (Ashtekar A et al 2009 Phys. Lett. B 681 347-52), turned out to provide concrete arguments in support of the spin foam paradigm. We now present detailed proofs of those results. Since the quantum theory of LQC models is well understood, this analysis also serves to shed new light on some long standing issues in the spin foam and group field theory literature. In particular, it suggests an intriguing possibility for addressing the question of why the cosmological constant is positive and small.

Original languageEnglish (US)
Article number135020
JournalClassical and Quantum Gravity
Volume27
Issue number13
DOIs
StatePublished - 2010

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy (miscellaneous)

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