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Published June 10, 1968 | Published
Journal Article Open

Electromagnetic Mass Shifts, Equal-Time Commutators, and Jost-Lehmann Representation

Abstract

Electromagnetic mass shifts, equal-time commutators (ETC), and their relation are analyzed, using the Jost-Lehmann representation for the forward Compton amplitude. The divergences in δ m are determined by Lorentz scalars associated with the ETC (when these exist). These results are illustrated by models with currents bilinear and linear in canonical fields. Existence of the ETC implies that the Jost-Lehmann representation is unsubtracted.

Additional Information

© 1968 American Physical Society. (Received 24 April 1968) One of us (D.G. B.) thanks Brandeis University for hospitality while part of this work was performed. Work supported by the U. S. Atomic Energy Commission under Contract No. RLO 1388B. Work supported by the U. S. Air Force, Office of Aerospace Research, under Office of Scientific Research Grant No. 368-67.

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Published - PhysRevLett.20.1399.pdf

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August 19, 2023
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