Path integrals and the WKB approximation in loop quantum cosmology

Abhay Ashtekar, Miguel Campiglia, Adam Henderson

Research output: Contribution to journalArticlepeer-review

55 Scopus citations

Abstract

We follow the Feynman procedure to obtain a path integral formulation of loop quantum cosmology starting from the Hilbert space framework. Quantum geometry effects modify the weight associated with each path so that the effective measure on the space of paths is different from that used in the Wheeler-DeWitt theory. These differences introduce some conceptual subtleties in arriving at the WKB approximation. But the approximation is well defined and provides intuition for the differences between loop quantum cosmology and the Wheeler-DeWitt theory from a path integral perspective.

Original languageEnglish (US)
Article number124043
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume82
Issue number12
DOIs
StatePublished - Dec 20 2010

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics
  • Physics and Astronomy (miscellaneous)

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