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arXiv · quant-ph/9904094

Constructing Hamiltonian quantum theories from path integrals in a diffeomorphism invariant context

A. Ashtekar·D. Marolf·J. Mourão·T. Thiemann
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Abstract

Osterwalder and Schrader introduced a procedure to obtain a (Lorentzian) Hamiltonian quantum theory starting from a measure on the space of (Euclidean) histories of a scalar quantum field. In this paper, we extend that construction to more general theories which do not refer to any background, space-time metric (and in which the space of histories does not admit a natural linear structure). Examples include certain gauge theories, topological field theories and relativistic gravitational theories. The treatment is self-contained in the sense that an a priori knowledge of the Osterwalder-Schrader theorem is not assumed.

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A. Ashtekar, D. Marolf, J. Mourão, T. Thiemann. 2000-12-01. Constructing Hamiltonian quantum theories from path integrals in a diffeomorphism invariant context. https://doi.org/10.1088/0264-9381%2F17%2F23%2F310

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