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  Two-point functions in (loop) quantum cosmology

Calcagni, G., Gielen, S., & Oriti, D. (2011). Two-point functions in (loop) quantum cosmology. Classical and quantum gravity, 28(12): 125014. doi:10.1088/0264-9381/28/12/125014.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0012-D15B-3 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0012-D15E-E
Genre: Journal Article

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 Creators:
Calcagni, G.1, Author              
Gielen, S.1, Author              
Oriti, D.1, Author              
Affiliations:
1Microscopic Quantum Structure & Dynamics of Spacetime, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_67201              

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 Abstract: The path-integral formulation of quantum cosmology with a massless scalar field as a sum-over-histories of volume transitions is discussed, with particular but non-exclusive reference to loop quantum cosmology. Exploiting the analogy with the relativistic particle, we give a complete overview of the possible two-point functions, pointing out the choices involved in their definitions, deriving their vertex expansions and the composition laws they satisfy. We clarify the origin and relations of different quantities previously defined in the literature, in particular the tie between definitions using a group averaging procedure and those in a deparametrized framework. Finally, we draw some conclusions about the physics of a single quantum universe (where there exist superselection rules on positive- and negative-frequency sectors and different choices of inner product are physically equivalent) and multiverse field theories where the role of these sectors and the inner product are reinterpreted.

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 Dates: 2010-12-062011
 Publication Status: Published in print
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 Identifiers: DOI: 10.1088/0264-9381/28/12/125014
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Title: Classical and quantum gravity
Source Genre: Journal
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Publ. Info: Bristol, U.K. : Institute of Physics
Pages: - Volume / Issue: 28 (12) Sequence Number: 125014 Start / End Page: - Identifier: ISSN: 0264-9381
CoNE: /journals/resource/954925513480_1