Matter, quantum gravity, and adiabatic phase

Details Matter, quantum gravity, and adiabatic phase Matter, quantum gravity, and adiabatic phase

Mar 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990phrvd..41.1848b&link_type=abstract

Physical Review D (Particles and Fields), Volume 41, Issue 6, 15 March 1990, pp.1848-1854

Mathematics

Logic

7

Scientific paper

Based on the observation that particle masses are much smaller than the Planck mass, a framework for the matter-gravity system in which matter follows gravitation adiabatically is examined in a path-integral approach. It is found that the equations that the resulting gravitational wave function satisfies involve, in addition to the expectation value of the matter stress tensor, an adiabatically induced gauge field which can lead to interesting topological structures in superspace. Such a nontrivial geometric contribution modifies the semiclassical quantization condition and can change the conserved quantities associated with the symmetries of the system.

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