A path-integral approach to the problem of time
arXiv:1601.07477 · doi:10.1016/j.aop.2017.11.027
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.
19 pages, v2: additional remarks on topological turning points
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Cited by in corpus (6)
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- Relational evolution with oscillating clocks
- Freeze-free cosmological evolution with a non-monotonic internal clock
- Quantum Reference Frames via Transition Amplitudes in Timeless Quantum Gravity
- Large effects from quantum reference frames