Abstract
The propagation of scalar and spinor fields in a spacetime whose metric changes signature is analyzed. The recent work of Dray, Manogue, and Tucker on particle production from signature change for a (massless) scalar field is reviewed, and an attempt is made to extend their analysis to the case of a (massless) spin-1/2 field. In contrast with their results for a scalar field, it is shown here, for SL(2,C) spinors, that although there are inequivalent forms of the Dirac equation that can be used to propagate a spinor in a signature-changing spacetime, none of these forms gives rise to a conserved inner product on the space of solutions to the field equations.
Original language | English |
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Pages (from-to) | 4328-4333 |
Number of pages | 6 |
Journal | Physical Review D |
Volume | 47 |
Issue number | 10 |
DOIs | |
State | Published - 1993 |