Odd statistics in odd dimensions for odd couplings

Details Odd statistics in odd dimensions for odd couplings Odd statistics in odd dimensions for odd couplings

2002-06-18

arxiv.org/abs/gr-qc/0206048v1

Mod.Phys.Lett. A17 (2002) 1059-1066

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

9 pages, 2 figures, LaTeX, Invited talk at the ``First IUCAA Meeting on the Interface of Gravitational and Quantum Realms'', P

Scientific paper

10.1142/S0217732302007545

We consider the response of a uniformly accelerated monopole detector that is coupled non-linearly to the nth power of a quantum scalar field in (D+1)-dimensional flat spacetime. We show that, when (D+1) is even, the response of the detector in the Minkowski vacuum is characterized by a Bose-Einstein factor for all n. Whereas, when (D+1) is odd, we find that a Fermi-Dirac factor appears in the detector response when n is odd, but a Bose-Einstein factor arises when n is even. We emphasize the point that, since, along the accelerated trajectory, the Wightman function and, as a result, the (2n)-point function satisfy the Kubo-Martin-Schwinger condition (as required for a scalar field) in all dimensions, the appearance of a Fermi-Dirac factor (instead of the expected Bose-Einstein distribution) for odd (D+1) and n reflects a peculiar feature of the detector rather than imply a fundamental change in field theory.

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