Is Lavelle-McMullan transformation a really new symmetry in QED?
D.K.Park, Hung Soo Kim, and Jae Kwan Kim
TL;DR
This paper investigates the Lavelle-McMullan symmetry in QED, demonstrating it offers no new insights, and introduces generalized non-local symmetries inspired by Ward-Takahashi identities.
Contribution
It clarifies the nature of Lavelle-McMullan symmetry and constructs new generalized non-local symmetries in QED.
Findings
Lavelle-McMullan symmetry is not a new non-trivial symmetry in QED.
Ward-Takahashi identities do not support additional symmetry insights.
New generalized non-local symmetries of QED are proposed.
Abstract
Lavelle-McMullan symmetry of QED is examined at classical and quantum levels. It is shown that Lavelle-McMullan symmetry does not give any new non-trivial information in QED by examining the Ward-Takahashi identities. Being inspired by the examination of Ward-Takahashi identity, we construct the generalized non-local and non-covariant symmetries of QED.
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