Effective confinement theory from Abelian variables in SU(3) gauge theory

Details Effective confinement theory from Abelian variables in SU(3) gauge theory Effective confinement theory from Abelian variables in SU(3) gauge theory

2011-08-12

arxiv.org/abs/1108.2619v2

Physics Letters B 710 (2012) pp. 683-690

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, version accepted for publication in Physics Letters B

Scientific paper

10.1016/j.physletb.2012.03.033

In this Letter we use the Julia-Toulouse approach for condensation of defects in order to obtain an effective confinement theory for external chromoelectric probe charges in SU(3) gauge theory in the regime with condensed chromomagnetic monopoles. We use the Cho decomposition of the non-Abelian connection in order to reveal the Abelian sector of the non-Abelian gauge theory and the associated topological defects (monopoles) without resorting to any gauge fixing procedure. Using only the Abelian sector of the theory, we construct a hydrodynamic effective theory for the regime with condensed defects in such a way that it is compatible with the Elitzur's theorem. The resulting effective theory describes the interaction between external chromoelectric probe charges displaying a short-range Yukawa interaction plus a linear confining term that governs the long distance physics.

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