Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2003-06-12
Phys.Lett. B569 (2003) 57-66
Physics
High Energy Physics
High Energy Physics - Theory
12 pages, LaTeX, final version to appear in Phys. Lett. B
Scientific paper
10.1016/j.physletb.2003.07.019
The local composite gluon-ghost operator $({1/2}A^{a\mu}A_{\mu}^{a}+\alpha \bar{c}^{a}c^{a})$ is analysed in the framework of the algebraic renormalization in SU(N) Yang-Mills theories in the Landau, Curci-Ferrari and maximal abelian gauges. We show, to all orders of perturbation theory, that this operator is multiplicatively renormalizable. Furthermore, its anomalous dimension is not an independent parameter of the theory, being given by a general expression valid in all these gauges. We also verify the relations we obtain for the operator anomalous dimensions by explicit 3-loop calculations in the MSbar scheme for the Curci-Ferrari gauge.
Dudal David
Gracey J. A.
Lemes V. E. R.
Picariello Marco
Sarandy Marcelo S.
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