Classical History Theory of Vector Fields

Details Classical History Theory of Vector Fields Classical History Theory of Vector Fields

2001-07-19

arxiv.org/abs/gr-qc/0107067v1

J.Math.Phys. 43 (2002) 3036-3052

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

26 pages

Scientific paper

We consider the extension of classical history theory to the massive vector field and electromagnetism. It is argued that the action of the two Poincare groups introduced by Savvidou suggests that the history fields should have five components. The extra degrees of freedom introduced to make the fields five-dimensional result in an extra pair of second class constraints in the case of the massive vector field, and in an extended gauge group in the case of electromagnetism. The total gauge transformations depend on two arbitrary parameters, and contain `internal' and `external' U(1) gauge transformations as subgroups.

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