Gauge-invariant resummation formalism for two-point correlation functions

被引:67
作者
Papavassiliou, J [1 ]
Pilaftsis, A [1 ]
机构
[1] RUTHERFORD APPLETON LAB, DIDCOT OX11 0QX, OXON, ENGLAND
关键词
D O I
10.1103/PhysRevD.54.5315
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
The consistent description of unstable particles, renormalons, or other Schwinger-Dyson-type solutions within the framework of perturbative gauge field theories necessitates the definition and resummation of off-shell Green's functions, which must respect several crucial physical requirements. A formalism is presented for resummation of off-shell two-point correlation functions, which is mainly based on arguments of analyticity, unitarity, gauge; invariance, and renormalizability. The analytic results obtained with various methods, including the background field gauges and the pinch technique, are confronted with the physical requirements imposed; to one-loop order the pinch technique approach satisfies all of them. Using renormalization group arguments, we discuss the issues of the uniqueness of the resummation procedure related to the latter method.
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收藏
页码:5315 / 5335
页数:21
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