Poincare' invariance for continuous-time histories
Abstract
We show that the relativistic analogue of the two types of time translation in a non-relativistic history theory is the existence of two distinct Poincar\'{e} groups. The `internal' Poincar\'{e} group is analogous to the one that arises in the standard canonical quantisation scheme; the `external' Poincar\'{e} group is similar to the group that arises in a Lagrangian description of the standard theory. In particular, it performs explicit changes of the spacetime foliation that is implicitly assumed in standard canonical field theory.
Keywords
Cite
@article{arxiv.gr-qc/0104053,
title = {Poincare' invariance for continuous-time histories},
author = {Ntina Savvidou},
journal= {arXiv preprint arXiv:gr-qc/0104053},
year = {2009}
}
Comments
32 pages, Latex. In a non-relativistic history theory there exist two distinct Poincare' groups. The `internal' Poincare' group is analogous to the one that arises in standard canonical quantisation scheme; the `external' Poincare' group performs explicit changes of the spacetime foliation that is implicitly assumed in standard canonical field theory