
arXiv: gr-qc/0107067
We consider the extension of classical history theory to the massive vector field and electromagnetism. It is argued that the action of the two Poincaré 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.
More general nonquantum field theories in mechanics of particles and systems, Electromagnetic theory (general), FOS: Physical sciences, General Relativity and Quantum Cosmology (gr-qc), General Relativity and Quantum Cosmology, Yang-Mills and other gauge theories in quantum field theory
More general nonquantum field theories in mechanics of particles and systems, Electromagnetic theory (general), FOS: Physical sciences, General Relativity and Quantum Cosmology (gr-qc), General Relativity and Quantum Cosmology, Yang-Mills and other gauge theories in quantum field theory
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