1997
DOI: 10.1142/s0217751x97002310
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Gauge-Invariant Differential Renormalization: The Abelian Case

Abstract: A new version of differential renormalization is presented. It is based on pulling out certain differential operators and introducing a logarithmic dependence into diagrams. It can be defined either in coordinate or momentum space, the latter being more flexible for treating tadpoles and diagrams where insertion of counterterms generates tadpoles. Within this version, gauge invariance is automatically preserved to all orders in the Abelian case. Since differential renormalization is a strictly four-dimensional… Show more

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Cited by 5 publications
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“…Differential Renormalization (DR) is one of these approaches [8]. It works in the proper dimension of the theory in coordinate space, and has been proved to be simple and powerful in many applications [9][10][11][12][13][14][15][16][17][18][19][20][21][22][23]. It consists in the manipulation of singular distributions attributing to them properties of the regular ones.…”
Section: Introductionmentioning
confidence: 99%
“…Differential Renormalization (DR) is one of these approaches [8]. It works in the proper dimension of the theory in coordinate space, and has been proved to be simple and powerful in many applications [9][10][11][12][13][14][15][16][17][18][19][20][21][22][23]. It consists in the manipulation of singular distributions attributing to them properties of the regular ones.…”
Section: Introductionmentioning
confidence: 99%