Poincare' invariance for continuous-time histories
Ntina Savvidou
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.
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