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

Journal Article · Wed Mar 15 00:00:00 EST 2006 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.73.065017· OSTI ID:20782688

Oeckl, Robert ^[1]

---

1. Instituto de Matematicas, UNAM Campus Morelia, C.P. 58190, Morelia, Michoacan (Mexico)

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.

• OSTI ID: 20782688
• Journal Information: Physical Review. D, Particles Fields, Vol. 73, Issue 6; Other Information: DOI: 10.1103/PhysRevD.73.065017; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AMPLITUDES
AXIOMATIC FIELD THEORY
KLEIN-GORDON EQUATION
NONLINEAR PROBLEMS
PROBABILITY
QUANTUM MECHANICS
RELATIVISTIC RANGE
SPACE