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

Journal article


Publication Details

Author(s): Ashtekar A, Marolf D, Mourao JM, Thiemann T
Journal: Classical and Quantum Gravity
Publisher: IOP PUBLISHING LTD
Publication year: 2000
Volume: 17
Journal issue: 23
Pages range: 4919-4940
ISSN: 0264-9381


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.



FAU Authors / FAU Editors

Mourao, José Manuel Prof. Dr.
Chair for Theoretical Physics III (Quantum Gravity)
Thiemann, Thomas Prof. Dr.
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.

BibTeX: 

Last updated on 2018-08-08 at 10:53