Statistics from dynamics in curved spacetime

Details Statistics from dynamics in curved spacetime Statistics from dynamics in curved spacetime

Jun 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989phrvd..39.3596p&link_type=abstract

Physical Review D (Particles and Fields), Volume 39, Issue 12, 15 June 1989, pp.3596-3605

Statistics

5

Fundamental Problems And General Formalism, Lagrangian And Hamiltonian Approach

Scientific paper

We consider quantum fields of spin 0, (1/2, 1, (3/2, and 2 with a nonzero mass in curved spacetime. We show that the dynamical Bogolubov transformations associated with gravitationally induced particle creation imply the connection between spin and statistics: By embedding two flat regions in a curved spacetime, we find that only when one imposes Bose-Einstein statistics for an integer-spin field and Fermi-Dirac statistics for a half-integer-spin field in the first flat region is the same type of statistics propagated from the first to the second flat region. This derivation of the flat-spacetime spin-statistics theorem makes use of curved-spacetime dynamics and does not reduce to any proof given in flat spacetime. We also show in the same manner that parastatistics, up to the fourth order, are consistent with the dynamical evolution of curved spacetime.

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