Renormalizable Abelian-projected effective gauge theory derived from Quantum Chromodynamics II

Details Renormalizable Abelian-projected effective gauge theory derived from Quantum Chromodynamics II Renormalizable Abelian-projected effective gauge theory derived from Quantum Chromodynamics II

2001-05-26

arxiv.org/abs/hep-th/0105262v2

Mod.Phys.Lett. A18 (2003) 1403-1412

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, 3 figures

Scientific paper

10.1142/S0217732303011198

In the previous paper\cite{KS00b}, we derived the Abelian projected effective gauge theory as a low energy effective theory of the SU(N) Yang-Mills theory by adopting the maximal Abelian gauge. At that time, we have demonstrated the multiplicative renormalizability of the propagators for the diagonal gluon and the dual Abelian anti-symmetric tensor field. In this paper, we show the multiplicative renormalizability of the Green's functions also for the off-diagonal gluon. Moreover we complement the previous results by calculating the anomalous dimension and the renormalization group functions which are undetermined in the previous paper.

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