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

Ashtekar A, Marolf D, Mourao JM, Thiemann T (2000)

Publication Status: Published

Publication Type: Journal article

Publication year: 2000

Journal

Classical and Quantum Gravity Institute of Physics: Hybrid Open Access

Publisher: IOP PUBLISHING LTD

Book Volume: 17

Pages Range: 4919-4940

Journal Issue: 23

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, spacetime 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.

Authors with CRIS profile

José Manuel Mourao Chair for Theoretical Physics III (Quantum Gravity) Thomas Thiemann Chair for Theoretical Physics III (Quantum Gravity)

How to cite

APA:

Ashtekar, A., Marolf, D., Mourao, J.M., & Thiemann, T. (2000). Constructing Hamiltonian quantum theories from path integrals in a diffeomorphism-invariant context. Classical and Quantum Gravity, 17(23), 4919-4940.

MLA:

Ashtekar, Abhay, et al. "Constructing Hamiltonian quantum theories from path integrals in a diffeomorphism-invariant context." Classical and Quantum Gravity 17.23 (2000): 4919-4940.

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