Advances in Theoretical and Mathematical Physics
- Adv. Theor. Math. Phys.
- Volume 12, Number 2 (2008), 319-352.
General boundary quantum field theory: Foundations and probability interpretation
We elaborate on the proposed general boundary formulation as an extension of standard quantum mechanics to arbitrary (or no) backgrounds. Temporal transition amplitudes are generalized to amplitudes for arbitrary space-time regions. State spaces are associated to general (not necessarily spacelike) hypersurfaces.
We give a detailed foundational exposition of this approach, including its probability interpretation and a list of core axioms. We explain how standard quantum mechanics arises as a special case. We include a discussion of probability conservation and unitarity, showing how these concepts are generalized in the present framework. We formulate vacuum axioms and incorporate space-time symmetries into the framework. We show how the Schrödinger–Feynman approach is a suitable starting point for casting quantum field theories into the general boundary form. We discuss the role of operators.
Adv. Theor. Math. Phys., Volume 12, Number 2 (2008), 319-352.
First available in Project Euclid: 6 May 2008
Permanent link to this document
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Oeckl, Robert. General boundary quantum field theory: Foundations and probability interpretation. Adv. Theor. Math. Phys. 12 (2008), no. 2, 319--352. https://projecteuclid.org/euclid.atmp/1210083227