Field-strength and dual variable formulations of gauge theory
- 15 January 1979
- journal article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 19 (2), 517-530
- https://doi.org/10.1103/physrevd.19.517
Abstract
Using completely fixed axial-like gauges, I construct the unique inversion for the potential in terms of the field strength . A change of variable to results in a field-strength formulation of gauge theory. is constrained to satisfy the Bianchi "identities" . Dual potentials may also be introduced as functional Fourier conjugates to the Bianchi forms. For quantum electrodynamics in four dimensions, duality (, ) is a perfect symmetry. However, residuals of the symmetry persist in all theories: E.g., Gauss's law is an identity; is canonical to the magnetic fields, and closely related to 't Hooft's disorder operators. DOI: http://dx.doi.org/10.1103/PhysRevD.19.517 © 1979 The American Physical Society
Keywords
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