Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2001-05-28
Int.J.Mod.Phys. A18 (2003) 5733-5756
Physics
High Energy Physics
High Energy Physics - Theory
24 pages, 3 figures
Scientific paper
10.1142/S0217751X03016008
We construct the most general gauge fixing and the associated Faddeev-Popov ghost term for the SU(2) Yang-Mills theory, which leaves the global U(1) gauge symmetry intact (i.e., the most general Maximal Abelian gauge). We show that the most general form involves eleven independent gauge parameters. Then we require various symmetries which help to reduce the number of independent parameters for obtaining the simpler form. In the simplest case, the off-diagonal part of the gauge fixing term obtained in this way is identical to the modified maximal Abelian gauge term with two gauge parameters which was proposed in the previous paper from the viewpoint of renormalizability. In this case, moreover, we calculate the beta function, anomalous dimensions of all fields and renormalization group functions of all gauge parameters in perturbation theory to one-loop order. We also discuss the implication of these results to obtain information on low-energy physics of QCD.
Imai Takayuki
Kondo Kei-Ichi
Shinohara Tadatomi
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