Citation

BibTex format

@article{Isichei:2023:10.1103/physrevd.107.023526,
author = {Isichei, R and Magueijo, J},
doi = {10.1103/physrevd.107.023526},
journal = {Physical Review D},
pages = {1--8},
title = {Minisuperspace quantum cosmology from the Einstein-Cartan path integral},
url = {http://dx.doi.org/10.1103/physrevd.107.023526},
volume = {107},
year = {2023}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - We derive the fixed-Λ and unimodular propagators using the path integral formalism as applied to the Einstein-Cartan action. The simplicity of the action (which is linear in the lapse function) allows for an exact integration starting from the lapse function and the enforcement of the Hamiltonian constraint, leading to a product of Chern-Simons states if the connection is fixed at the endpoints. No saddle point approximation is needed. Should the metric be fixed at the endpoints, then, depending on the contour chosen for the connection, Hartle-Hawking or Vilenkin propagators are obtained. Thus, in this approach one trades a choice of contour in the lapse function for one in the connection, where appropriate. The unimodular propagators are also trivial to obtain via the path integral, and the previously derived expressions are recovered.
AU  - Isichei,R
AU  - Magueijo,J
DO  - 10.1103/physrevd.107.023526
EP  - 8
PY  - 2023///
SN  - 2470-0010
SP  - 1
TI  - Minisuperspace quantum cosmology from the Einstein-Cartan path integral
T2  - Physical Review D
UR  - http://dx.doi.org/10.1103/physrevd.107.023526
UR  - https://journals.aps.org/prd/abstract/10.1103/PhysRevD.107.023526
UR  - http://hdl.handle.net/10044/1/101939
VL  - 107
ER  -
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