Histories Electromagnetism

Details Histories Electromagnetism Histories Electromagnetism

2003-11-28

arxiv.org/abs/gr-qc/0311092v2

J.Math.Phys. 45 (2004) 2153-2170

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

26 pages

Scientific paper

10.1063/1.1723702

Working within the HPO (History Projection Operator) Consistent Histories formalism, we follow the work of Savvidou on (scalar) field theory and that of Savvidou and Anastopolous on (first-class) constrained systems to write a histories theory (both classical and quantum) of Electromagnetism. We focus particularly on the foliation-dependence of the histories phase space/Hilbert space and the action thereon of the two Poincare groups that arise in histories field theory. We quantise in the spirit of the Dirac scheme for constrained systems.

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