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Detection of Dirac quanta in Rindler and black hole space-times and the ξ quantisation scheme

B R Iyer and A Kumar

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A model detector for Dirac quanta based on a simple four-field interaction is analysed, following Unruh's analogous investigation of scalar particle detection in curved space-time. The Dirac xi scheme in Rindler space is constructed and used to show that an accelerated detector sees an ordinary vacuum as a bath of Dirac quanta with appropriate statistics at a temperature g/2 pi . A co-rotating detector constrained near the horizon of the Kerr black hole is similarly shown to detect in the xi vacuum a fermion bath with temperature proportional to the acceleration. The results provide a physical justification for the xi quantisation scheme for spin-1/2 fields developed and employed in the authors' earlier work (1979).


PACS

04.70.Dy Quantum aspects of black holes, evaporation, thermodynamics

MSC

83C57 Black holes

Subjects

Gravitation and cosmology

Dates

Issue 2 (1 February 1980)



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