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arXiv · 1802.03011

The gluon condensate in an effective SU(2) Yang-Mills theory

A. N. Efremov
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Abstract

We make progress towards a derivation of a low energy effective theory for SU(2) Yang-Mills theory. This low energy action is computed to 1-loop using the renormalization group technique, taking proper care of the Slavnov-Taylor identities in the Maximal Abelian Gauge. After that, we perform the Spin-Charge decomposition in a way proposed by L.D. Faddeev and A.J. Niemi. The resulting action describes a pair of non-linear O(3) nonlinear sigma models interacting with a scalar field. The potential of the scalar field is a Mexican hat and the location of the minima sets the energy scale of solitonic configurations of the sigma model fields whose excitations correspond to glueball states.

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A. N. Efremov. 2018-02-07. The gluon condensate in an effective SU(2) Yang-Mills theory. https://doi.org/10.1142/s0217751x19500180

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