Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1997-06-04
Phys.Rev. D56 (1997) 6640-6647
Physics
High Energy Physics
High Energy Physics - Phenomenology
17 pages, Latex, 18 figures in Postscript
Scientific paper
10.1103/PhysRevD.56.6640
The graphical method discussed previously can be used to create new gauges not reachable by the path-integral formalism. By this means a new gauge is designed for more efficient two-loop QCD calculations. It is related to but simpler than the ordinary background-field gauge, in that even the triple-gluon vertices for internal lines contain only four terms, not the usual six. This reduction simplifies the calculation inspite of the necessity to include other vertices for compensation. Like the ordinary background-field gauge, this generalized background-field gauge also preserves gauge invariance of the external particles. As a check of the result and an illustration for the reduction in labour, an explicit calculation of the two-loop QCD $\beta$-function is carried out in this new gauge. It results in a saving of 45% of computation compared to the ordinary background-field gauge.
Feng Y. J.
Lam Chi-Sing
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