Constructing Hamiltonian quantum theories from path integrals in a diffeomorphism invariant context
摘要
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.
引用
@article{arxiv.quant-ph/9904094,
title = {Constructing Hamiltonian quantum theories from path integrals in a diffeomorphism invariant context},
author = {A. Ashtekar and D. Marolf and J. Mourão and T. Thiemann},
journal= {arXiv preprint arXiv:quant-ph/9904094},
year = {2009}
}
备注
Plain Latex, 25 p., references added, abstract and title changed (originally :``Osterwalder Schrader Reconstruction and Diffeomorphism Invariance''), introduction extended, one appendix with illustrative model added, accepted by Class. Quantum Grav