# Nonlocal QED admits a finitely induced gauge field action

Source: [Nonlocal QED admits a finitely induced gauge field action](<https://www.sota2.com/research/paper/68fa235a2c2a376019396604>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T06:37:04.485Z

Authors: K. Scharnhorst

Published: 1993-11-17T19:11:17.000Z

## Abstract

The Letter reconsiders a result obtained by Chr\\'etien and Peierls in 1954 within nonlocal QED in 4D \[Proc. Roy. Soc. London A 223, 468\]. Starting from secondly quantized fermions subject to a nonlocal action with the kernel $\[ i\\not\\partial\_x a(x) - m b(x)\]$ and gauge covariantly coupled to an external U(1) gauge field they found that for $a = b$ the induced gauge field action cannot be made finite irrespectively of the choice of the nonlocality $a$ $(= b)$. But, the general case $a \\neq b$ naturally to be studied admits a finitely induced gauge field action, as the present Letter demonstrates.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/hep-th/9311099>)

[PDF](<https://arxiv.org/pdf/hep-th/9311099.pdf>)