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A Local Gauge-Invariant Formulation of Quantum Electrodynamics

  • D. H. Sharp

Abstract

In this article I want to discuss a local and manifestly gauge-invariant formulation of quantum electrodynamics which has been developed by R. Menikoff and myself.(1,2) The manifest gauge invariance is achieved by using the electromagnetic field strengths, rather than potentials, to describe the electromagnetic field, and by using local currents, rather than canonical fields, to describe the matter. In order to represent this theory in Hilbert space, we study the continuous unitary representations of the group obtained from the exponentiated currents and electromagnetic field strengths. These operators can be represented on a Hilbert space having positive norm, so that the necessity for an indefinite metric does not arise here, and the equations of motion hold as operator equations in this Hilbert space.

Keywords

Hilbert Space Local Current Quantum Electrodynamic Current Algebra Nonrelativistic Quantum 
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References and Notes

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Copyright information

© Springer Science+Business Media New York 1980

Authors and Affiliations

  • D. H. Sharp
    • 1
  1. 1.Theoretical Division, Los Alamos Scientific LaboratoryUniversity of CaliforniaLos AlamosUSA

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