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

T. Shinohara
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Abstract

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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T. Shinohara. 2003-09-27. Renormalizable Abelian-projected effective gauge theory derived from Quantum Chromodynamics II. https://doi.org/10.1142/s0217732303011198

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