Citation

BibTex format

@article{Alexander:2021:1361-6382/abf2f6,
author = {Alexander, S and Herczeg, G and Magueijo, J},
doi = {1361-6382/abf2f6},
journal = {Classical and Quantum Gravity},
pages = {1--15},
title = {A generalized Hartle-Hawking wave function},
url = {http://dx.doi.org/10.1088/1361-6382/abf2f6},
volume = {38},
year = {2021}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - The Hartle–Hawking wave function is known to be the Fourier dual of the Chern–Simons or Kodama state reduced to mini-superspace, using an integration contour covering the whole real line. But since the Chern–Simons state is a solution of the Hamiltonian constraint (with a given ordering), its Fourier dual should provide a solution (i.e. beyond mini-superspace) of the Wheeler DeWitt equation representing the Hamiltonian constraint in the metric representation. We write down a formal expression for such a wave function, to be seen as the generalization beyond mini-superspace of the Hartle–Hawking wave function. Its explicit evaluation (or simplification) depends only on the symmetries of the problem, and we illustrate the procedure with anisotropic Bianchi models and with the Kantowski–Sachs model. A significant difference of this approach is that we may leave the torsion inside the wave functions when we set up the ansatz for the connection, rather than setting it to zero before quantization. This allows for quantum fluctuations in the torsion, with far reaching consequences.
AU  - Alexander,S
AU  - Herczeg,G
AU  - Magueijo,J
DO  - 1361-6382/abf2f6
EP  - 15
PY  - 2021///
SN  - 0264-9381
SP  - 1
TI  - A generalized Hartle-Hawking wave function
T2  - Classical and Quantum Gravity
UR  - http://dx.doi.org/10.1088/1361-6382/abf2f6
UR  - http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000640390300001&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
UR  - https://iopscience.iop.org/article/10.1088/1361-6382/abf2f6
UR  - http://hdl.handle.net/10044/1/101408
VL  - 38
ER  -
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