Minisuperspace quantum cosmology from the Einstein-Cartan path integral
| Autor: | Raymond Isichei, João Magueijo |
|---|---|
| Rok vydání: | 2023 |
| Předmět: |
High Energy Physics - Theory
High Energy Physics - Phenomenology Cosmology and Nongalactic Astrophysics (astro-ph.CO) High Energy Physics - Phenomenology (hep-ph) High Energy Physics - Theory (hep-th) FOS: Physical sciences General Relativity and Quantum Cosmology (gr-qc) General Relativity and Quantum Cosmology Astrophysics - Cosmology and Nongalactic Astrophysics |
| Zdroj: | Physical Review |
| ISSN: | 2470-0029 2470-0010 |
| DOI: | 10.1103/physrevd.107.023526 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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