Quantum Fields in a Big Crunch/Big Bang Spacetime

Details Quantum Fields in a Big Crunch/Big Bang Spacetime Quantum Fields in a Big Crunch/Big Bang Spacetime

2002-04-10

arxiv.org/abs/hep-th/0204091v3

Phys.Rev. D66 (2002) 106005

Physics

High Energy Physics

High Energy Physics - Theory

30 pages, RevTex file, five postscript figure files

Scientific paper

10.1103/PhysRevD.66.106005

We consider quantum field theory on a spacetime representing the Big Crunch/Big Bang transition postulated in the ekpyrotic or cyclic cosmologies. We show via several independent methods that an essentially unique matching rule holds connecting the incoming state, in which a single extra dimension shrinks to zero, to the outgoing state in which it re-expands at the same rate. For free fields in our construction there is no particle production from the incoming adiabatic vacuum. When interactions are included the total particle production for fixed external momentum is finite at tree level. We discuss a formal correspondence between our construction and quantum field theory on de Sitter spacetime.

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