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  The No-Boundary Proposal as a Path Integral with Robin Boundary Conditions

Di Tucci, A., & Lehners, J.-L. (2019). The No-Boundary Proposal as a Path Integral with Robin Boundary Conditions. Physical Review Letters, 122 (20 ): 2013020. doi:10.1103/PhysRevLett.122.201302.

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Item Permalink: http://hdl.handle.net/21.11116/0000-0003-4D73-6 Version Permalink: http://hdl.handle.net/21.11116/0000-0003-C501-D
Genre: Journal Article

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 Creators:
Di Tucci , Alice, Author
Lehners, Jean-Luc1, Author              
Affiliations:
1String Cosmology, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_1753351              

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Free keywords: High Energy Physics - Theory, hep-th,General Relativity and Quantum Cosmology, gr-qc
 Abstract: Realising the no-boundary proposal of Hartle and Hawking as a consistent gravitational path integral has been a long-standing puzzle. In particular, it was demonstrated by Feldbrugge et al. that the sum over all universes starting from zero size results in an unstable saddle point geometry. Here we show that in the context of gravity with a positive cosmological constant, path integrals with a specific family of Robin boundary conditions overcome this problem. These path integrals are manifestly convergent and are approximated by stable Hartle-Hawking saddle point geometries. The price to pay is that the off-shell geometries do not start at zero size. The Robin boundary conditions may be interpreted as an initial state with Euclidean momentum, with the quantum uncertainty shared between initial size and momentum.

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 Dates: 2019-03-152019
 Publication Status: Published in print
 Pages: 5 pages, 3 figures
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 Rev. Method: -
 Identifiers: arXiv: 1903.06757
URI: http://arxiv.org/abs/1903.06757
DOI: 10.1103/PhysRevLett.122.201302
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Title: Physical Review Letters
Source Genre: Journal
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Pages: - Volume / Issue: 122 (20 ) Sequence Number: 2013020 Start / End Page: - Identifier: -