Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2005-10-29
Proceedings of the 12th Lomonosov Conference on Elementary Particle Physics, World Scientific Publishing Co., Singapore, pp. 3
Physics
High Energy Physics
High Energy Physics - Phenomenology
15 pages, 5 figures, Presented at the 12th Lomonosov Conference on Elementary Particle Physics, Moscow State University, Mosco
Scientific paper
In the present talk we present an investigation of nonabelian SU(N) gauge theories, describing a system of fields with non--dual g and dual \tilde g charges and revealing the generalized dual symmetry. The Zwanziger type action is suggested. The renormalization group equations for pure nonabelian theories, in particular for pure SU(3)\times\widetilde{SU(3)} gauge theory (as an example) are analysed. We consider not only monopoles, but also dyons. The behaviour of the QCD total beta--function is investigated. It was shown that this beta--function is antisymmetric under the interchange \alpha\leftrightarrow\frac 1\alpha (here \alpha\equiv\alpha_s), and has zero ("fixed point") at \alpha = 1. Monopoles, or dyons, are responsible for the phase transition. Considering critical points at \alpha_1\approx 0.4 and \alpha_2\approx 2.5, we give an explanation of the freezing of \alpha_s.
Das Ch. R.
Laperashvili Larisa V.
Nielsen Holger Bech
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