Improved Epstein-Glaser Renormalization II. Lorentz invariant framework

Details Improved Epstein-Glaser Renormalization II. Lorentz invariant framework Improved Epstein-Glaser Renormalization II. Lorentz invariant framework

2002-12-13

arxiv.org/abs/hep-th/0212156v3

J.Math.Phys.44:3863-3875,2003

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX, 15 pages, no figure. Version to be published in J. Math. Phys. (Section 7 on the Massive Case and some references have

Scientific paper

10.1063/1.1597420

The Epstein--Glaser type T-subtraction introduced by one of the authors in a previous paper is extended to the Lorentz invariant framework. The advantage of using our subtraction instead of Epstein and Glaser's standard W-subtraction method is especially important when working in Minkowski space, as then the counterterms necessary to keep Lorentz invariance are simplified. We show how T-renormalization of primitive diagrams in the Lorentz invariant framework directly relates to causal Riesz distributions. A covariant subtraction rule in momentum space is found, sharply improving upon the BPHZL method for massless theories.

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