Path integral regularization of QED by means of Stueckelberg fields

Abstract

With the help of a Stueckelberg field we construct a regularized U(1) gauge invariant action through the introduction of cutoff functions. This action has the property that it converges formally to the unregularized action of QED when the ultraviolet cutoff goes to infinity. Integrating out exactly the Stueckelberg field we obtain a simple effective regularized action, which is fully gauge invariant and gives rise to the same prediction as QED at the tree level and to the one loop order.

arXiv commentLaTeX file, 12 pages, 3 figures. Revised version, to be published in Phys. Lett. B

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Cited by in corpus (6)

• Aspects of the Functional Renormalisation Group
• Boost invariant regulator for field theories
• The Abraham-Lorentz force and electrodynamics at the classical electron radius
• Path integral regularization of pure Yang-Mills theory
• A mass generation mechanism for gauge fields
• Light front QED, Stueckelberg field and Infrared divergence