Nonlocal QED admits a finitely induced gauge field action

Details Nonlocal QED admits a finitely induced gauge field action Nonlocal QED admits a finitely induced gauge field action

1993-11-17

arxiv.org/abs/hep-th/9311099v1

Proc.Roy.Soc.Lond.A451:571-577,1995; Erratum-ibid.A452:1503,1996

Physics

High Energy Physics

High Energy Physics - Theory

10 pages LATEX. Paper also available at http://links.jstor.org/sici?sici=0962-8444%2819951208%29451%3A1943%3C571%3ANQE AAF%3

Scientific paper

10.1098/rspa.1995.0143 10.1098/r

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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