Renormalization group coefficients and the S-matrix

被引：47

作者：

Caron-Huot, Simon ^{[1
,2
,3
]}

Wilhelm, Matthias

机构：

[1] Niels Bohr Int Acad, Blegdamsvej 17, DK-2100 Copenhagen O, Denmark

[2] Discovery Ctr, Blegdamsvej 17, DK-2100 Copenhagen O, Denmark

[3] Niels Bohr Inst, Blegdamsvej 17, DK-2100 Copenhagen O, Denmark

来源：

JOURNAL OF HIGH ENERGY PHYSICS | 2016年 / 12期

基金：

新加坡国家研究基金会;

关键词：

Renormalization Group; Scattering Amplitudes; 3-LOOP SPLITTING FUNCTIONS; BETA-FUNCTION; GAUGE-THEORY; SPIN CHAIN; N=4 SYM; QCD; AMPLITUDES; EQUATIONS; GLUONS;

D O I：

10.1007/JHEP12(2016)010

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

We show how to use on-shell unitarity methods to calculate renormalisation group coefficients such as beta functions and anomalous dimensions. The central objects are the form factors of composite operators. Their discontinuities can be calculated via phasespace integrals and are related to corresponding anomalous dimensions. In particular, we find that the dilatation operator, which measures the anomalous dimensions, is given by minus the phase of the S-matrix divided by pi. We illustrate our method using several examples from Yang-Mills theory, perturbative QCD and Yukawa theory at one-loop level and beyond.

引用

页数：28