Taylor-Lagrange renormalization and gauge theories in four dimensions

被引：14
|
作者：
Mutet, B. [1 ]
Grange, P. [2 ]
Werner, E. [3 ]
机构：
[1] Clermont Univ, Phys Corpusculaire Lab, F-63000 Clermont Ferrand, France
[2] Univ Montpellier 2, CNRS IN2P3, Lab Univers & Particules, F-34095 Montpellier 05, France
[3] Univ Regensburg, Inst Theoret Phys, D-93053 Regensburg, Germany
来源：
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2012年 / 45卷 / 31期
关键词：
PERTURBATION-THEORY; REGULARIZATION; FORMULATION;
D O I：
10.1088/1751-8113/45/31/315401
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The treatment of gauge theories within the recently proposed Taylor-Lagrange renormalization scheme (TLRS) is examined in detail. The conservation of gauge symmetry is demonstrated directly at the physical dimension D = 4 for specific examples of fermion and boson self energies and vertices of QED and QCD. Comparisons with dimensional regularization and Bogoliubov-Parasiuk-Hepp-Zimmermann (BPHZ) substractions, improved by algebraic regularization based on the quantum action principle, exhibit clearly the important mathematical properties of the TLRS leading to conservation of this fundamental gauge symmetry.
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页数：25
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