A NEW PERSPECTIVE ON PATH INTEGRAL QUANTUM MECHANICS IN CURVED SPACETIME

作者：Singh Dinesh^*; Mobed Nader

来源：Modern Physics Letters A, 2012, 27(16): 1250065.

DOI：10.1142/50217732312500654

• New approach to path integral quantum mechanics in curved spacetime
• quantum violation of the weak equivalence principle at the Compton wavelength scale and time-reversal symmetry breakdown
• gravitational Aharonov-Bohm effect and Berry%26apos
• s phase

A fundamentally different approach to path integral quantum mechanics in curved spacetime is presented for scalar particle propagation on a locally curved background, as described by Fermi or Riemann normal coordinates. While using a strictly non-unitary form of local time translation involving Lie transport, the formalism nevertheless correctly recovers the free-particle Lagrangian in curved spacetime, plus new contributions. All the probability violating terms due to curvature contribute to a quantum violation of the weak equivalence principle at the particle%26apos;s Compton wavelength scale and the propagator yields a gauge-invariant phase factor interpreted as the gravitational Aharonov-Bohm effect and Berry%26apos;s phase.

• 出版日期2012-5-30