Improved Epstein-Glaser Renormalization II. Lorentz invariant framework
摘要
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.
引用
@article{arxiv.hep-th/0212156,
title = {Improved Epstein-Glaser Renormalization II. Lorentz invariant framework},
author = {J. M. Gracia-Bondia and S. Lazzarini},
journal= {arXiv preprint arXiv:hep-th/0212156},
year = {2008}
}
备注
LaTeX, 15 pages, no figure. Version to be published in J. Math. Phys. (Section 7 on the Massive Case and some references have been withdrawn). To the Memory of Laurent Schwartz