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arXiv · hep-th/9311099

Nonlocal QED admits a finitely induced gauge field action

K. Scharnhorst
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Abstract

The Letter reconsiders a result obtained by Chrétien 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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K. Scharnhorst. 1993-11-17. Nonlocal QED admits a finitely induced gauge field action. https://doi.org/10.1098/rspa.1995.0143%2010.1098%2Frspa.1996.0078

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