Quantum Fields in a Big Crunch/Big Bang Spacetime

Abstract

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.

30 pages, RevTex file, five postscript figure files

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• Collision of Domain Walls and Reheating of the Brane Universe
• Matrix Membrane Big Bangs and D-brane Production
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• Removing Singularities
• Strings in Singular Time-Dependent Backgrounds
• Inflationary Theory versus Ekpyrotic/Cyclic Scenario
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• On the Classical Stability of Orientifold Cosmologies
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• Quantum propagation across cosmological singularities
• Collision of Domain Walls in asymptotically Anti de Sitter spacetime
• Kink-antikink collisions for twin models
• The Taming of Closed Time-like Curves
• Cosmology in the laboratory: an analogy between hyperbolic metamaterials and the Milne universe
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• The phase portrait of a matter bounce in Horava-Lifshitz cosmology
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• Quantum evolution across singularities
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