General boundary quantum field theory: Timelike hypersurfaces in the Klein-Gordon theory

Robert Oeckl
Phys. Rev. D 73, 065017 – Published 16 March 2006

Abstract

We show that the real massive Klein-Gordon theory admits a description in terms of states on various timelike hypersurfaces and amplitudes associated with regions bounded by them. This realizes crucial elements of the general boundary framework for quantum field theory. The hypersurfaces considered are hyperplanes on the one hand and timelike hypercylinders on the other hand. The latter lead to the first explicit examples of amplitudes associated with finite regions of space, and admit no standard description in terms of “initial” and “final” states. We demonstrate a generalized probability interpretation in this example, going beyond the applicability of standard quantum mechanics.

  • Received 26 September 2005

DOI:https://doi.org/10.1103/PhysRevD.73.065017

©2006 American Physical Society

Authors & Affiliations

Robert Oeckl*

  • Instituto de Matemáticas, UNAM Campus Morelia, C.P. 58190, Morelia, Michoacán, Mexico

  • *Email address: robert@matmor.unam.mx

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Issue

Vol. 73, Iss. 6 — 15 March 2006

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