Poincare' invariance for continuous-time histories

Details Poincare' invariance for continuous-time histories Poincare' invariance for continuous-time histories

2001-04-17

arxiv.org/abs/gr-qc/0104053v1

J.Math.Phys. 43 (2002) 3053-3073

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

32 pages, Latex. In a non-relativistic history theory there exist two distinct Poincare' groups. The `internal' Poincare' grou

Scientific paper

10.1063/1.1471924

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.

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