Two loop QCD vertices at the symmetric point

被引:36
|
作者
Gracey, J. A. [1 ]
机构
[1] Univ Liverpool, Div Theoret Phys, Dept Math Sci, Liverpool L69 3BX, Merseyside, England
来源
PHYSICAL REVIEW D | 2011年 / 84卷 / 08期
关键词
ANOMALOUS DIMENSION; BETA-FUNCTION; QUARK MASS; RENORMALIZATION; FIELD; BEHAVIOR; INVARIANT; DIAGRAMS; CHARGE;
D O I
10.1103/PhysRevD.84.085011
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We compute the triple gluon, quark-gluon and ghost-gluon vertices of QCD at the symmetric subtraction point at two loops in the MS scheme. In addition we renormalize each of the three vertices in their respective momentum subtraction schemes, MOMggg, MOMq and MOMh. The conversion functions of all the wave functions, coupling constant and gauge parameter renormalization constants of each of the schemes relative to MS are determined analytically. These are then used to derive the three loop anomalous dimensions of the gluon, quark, Faddeev-Popov ghost and gauge parameter as well as the beta function in an arbitrary linear covariant gauge for each MOM scheme. There is good agreement of the latter with earlier Landau gauge numerical estimates of Chetyrkin and Seidensticker.
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页数:27
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