Observables in the General Boundary Formulation

Robert Oeckl ()
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Robert Oeckl: Universidad Nacional Autónoma de México, Instituto de Matemáticas

A chapter in Quantum Field Theory and Gravity, 2012, pp 137-156 from Springer

Abstract: Abstract We develop a notion of quantum observable for the general boundary formulation of quantum theory. This notion is adapted to spacetime regions rather than to hypersurfaces and naturally fits into the topological-quantum-field-theory-like axiomatic structure of the general boundary formulation. We also provide a proposal for a generalized concept of expectation value adapted to this type of observable. We show how the standard notion of quantum observable arises as a special case together with the usual expectation values. We proceed to introduce various quantization schemes to obtain such quantum observables including path integral quantization (yielding the time-ordered product), Berezin-Toeplitz (antinormal-ordered) quantization and normal-ordered quantization, and discuss some of their properties.

Keywords: Quantum field theory; general boundary formulation; observable; expectation value; quantization; coherent state. (search for similar items in EconPapers)
Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-0348-0043-3_8

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DOI: 10.1007/978-3-0348-0043-3_8

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