A path-integral approach to the problem of time
General Relativity and Quantum Cosmology
2017-12-19 v2 High Energy Physics - Theory
Abstract
Quantum transition amplitudes are formulated for a model system with local internal time, using path integrals. The amplitudes are shown to be more regular near a turning point of internal time than could be expected based on existing canonical treatments. In particular, a successful transition through a turning point is provided in the model system, together with a new definition of such a transition in general terms. Some of the results rely on a fruitful relation between the problem of time and general Gribov problems.
Cite
@article{arxiv.1601.07477,
title = {A path-integral approach to the problem of time},
author = {M. M. Amaral and Martin Bojowald},
journal= {arXiv preprint arXiv:1601.07477},
year = {2017}
}
Comments
19 pages, v2: additional remarks on topological turning points