NonLocal Quantum Electrodynamics Admits a Finitely Induced Gauge Field Action
Abstract
This paper reconsiders a result obtained by Chretien & Peierls within nonlocal quantum electrodynamics in four dimensions (1954, Proc. R. Soc. Lond. A 223, 468). Starting from secondly quantized fermions, subject to a nonlocal action with the kernel [Note: See the image of page 571 for this formatted text] [ipartial _{x}a(x)  mb(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, irrespective of the choice of the nonlocality a (= b). But, the general case studied a neq b admits a finitely induced gauge field action, as the present paper demonstrates.
 Publication:

Proceedings of the Royal Society of London Series A
 Pub Date:
 December 1995
 DOI:
 10.1098/rspa.1995.0143
 arXiv:
 arXiv:hepth/9311099
 Bibcode:
 1995RSPSA.451..571S
 Keywords:

 High Energy Physics  Theory
 EPrint:
 10 pages LATEX. Paper also available at http://links.jstor.org/sici?sici=09628444%2819951208%29451%3A1943%3C571%3ANQE AAF%3E2.0.CO%3B2V