dorsal/arxiv
View SchemaConstructing Hamiltonian quantum theories from path integrals in a diffeomorphism invariant context
| Authors | A. Ashtekar, D. Marolf, J. Mourão, T. Thiemann |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9904094 |
| URL | https://arxiv.org/abs/quant-ph/9904094 |
| DOI | 10.1088/0264-9381/17/23/310 |
| Journal | Class.Quant.Grav. 17 (2000) 4919-4940 |
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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"abstract": "Osterwalder and Schrader introduced a procedure to obtain a (Lorentzian)\nHamiltonian quantum theory starting from a measure on the space of (Euclidean)\nhistories of a scalar quantum field. In this paper, we extend that construction\nto more general theories which do not refer to any background, space-time\nmetric (and in which the space of histories does not admit a natural linear\nstructure). Examples include certain gauge theories, topological field theories\nand relativistic gravitational theories. The treatment is self-contained in the\nsense that an a priori knowledge of the Osterwalder-Schrader theorem is not\nassumed.",
"arxiv_id": "quant-ph/9904094",
"authors": [
"A. Ashtekar",
"D. Marolf",
"J. Mour\u00e3o",
"T. Thiemann"
],
"categories": [
"quant-ph",
"gr-qc",
"hep-th"
],
"doi": "10.1088/0264-9381/17/23/310",
"journal_ref": "Class.Quant.Grav. 17 (2000) 4919-4940",
"title": "Constructing Hamiltonian quantum theories from path integrals in a diffeomorphism invariant context",
"url": "https://arxiv.org/abs/quant-ph/9904094"
},
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