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Journal Article

Quantum field theory on timelike hypersurfaces in Rindler space

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Raetzel,  Dennis
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, Golm, DE;

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1303.5873.pdf
(Preprint), 339KB

PRD87_125001.pdf
(Any fulltext), 256KB

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Citation

Colosi, D., & Raetzel, D. (2013). Quantum field theory on timelike hypersurfaces in Rindler space. Physical Review D, 87: 125001. doi:10.1103/PhysRevD.87.125001.


Cite as: https://hdl.handle.net/11858/00-001M-0000-0015-157B-3
Abstract
The general boundary formulation of quantum field theory is applied to a massive scalar field in two dimensional Rindler space. The field is quantized according to both the Schr\"odinger-Feynman quantization prescription and the holomorphic one in two different spacetime regions: a region bounded by two Cauchy surfaces and a region bounded by one timelike curve. An isomorphism is constructed between the Hilbert spaces associated with these two boundaries. This isomorphism preserves the probabilities that can be extracted from the free and the interacting quantum field theories, proving the equivalence of the S-matrices defined in the two settings, when both apply.