1998/01/08 by Kouletsis, I.
#FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc)
paper · doi:10.48550/arxiv.gr-qc/9801019
Assuming that the Hamiltonian of a canonical field theory can be written in the form N H + Ni Hi, and using as the only input the actual choice of the canonical variables, we derive: (i) The algebra satisfied by H and Hi, (ii) any constraints, and (iii) the most general canonical representation for H and Hi. This completes previous work by Hojman, Kuchar and Teitelboim who had to impose a set of additional postulates, among which were the form of the canonical algebra and the requirement of path-independence of the dynamical evolution. A prominent feature of the present approach is the replacement of the equal-time Poisson bracket with one evaluated at general times. The resulting formalism is therefore an example of a classical history theory -- an interesting fact, especially in view of recent work by Isham et al.