Quantum phase shift and neutrino oscillations in a stationary, weak gravitational field
arXiv:gr-qc/0206056 · doi:10.1142/S0217732311036115
Abstract
A new method based on Synge's world function is developed for determining within the WKB approximation the gravitationally induced quantum phase shift of a particle propagating in a stationary spacetime. This method avoids any calculation of geodesics. A detailed treatment is given for relativistic particles within the weak field, linear approximation of any metric theory. The method is applied to the calculation of the oscillation terms governing the interference of neutrinos considered as a superposition of two eigenstates having different masses. It is shown that the neutrino oscillations are not sensitive to the gravitomagnetic components of the metric as long as the spin contributions can be ignored. Explicit calculations are performed when the source of the field is a spherical, homogeneous body. A comparison is made with previous results obtained in Schwarzschild spacetime.
14 pages, no figure. Enlarged version; added references. In the Schwarzschild case, our results on the non-radial propagation are compared with the previous works
References in corpus (8)
- General post-Minkowskian expansion of time transfer functions
- Time transfer and frequency shift to the order 1/c^4 in the field of an axisymmetric rotating body
- World function and time transfer: general post-Minkowskian expansions
- Neutrino Interferometry In Curved Spacetime
- Quantum Theory of Neutrino Oscillations for Pedestrians - Simple Answers to Confusing Questions
- Neutrino Oscillations in Gravitational Field
- General Relativistic Effects on Quantum Interference and the Principle of Equivalence
- Neutrino oscillation phase dynamically induced by f(R)-gravity