Dual superconductivity, monopole condensation and confining string in lowenergy YangMills theory. Part I
Abstract
We show that the QCD vacuum (without dynamical quarks) is a dual superconductor at least in the lowenergy region in the sense that monopole condensation does really occur. In fact, we derive the dual GinzburgLandau theory (i.e., dual Abelian Higgs model) directly from the SU(2) YangMills theory by adopting the maximal Abelian gauge. The dual superconductor can be on the border between type II and type I, excluding the London limit. The masses of the dual Abelian gauge field is expressed by the YangMills gauge coupling constant and the mass of the offdiagonal gluon of the original YangMills theory. Moreover, we can rewrite the YangMills theory into an theory written in terms of the Abelian magnetic monopole alone at least in the lowenergy region. Magnetic monopole condensation originates in the nonzero mass of offdiagonal gluons. Finally, we derive the confining string theory describing the lowenergy Gluodynamics. Then the area law of the large Wilson loop is an immediate consequence of these constructions. Three lowenergy effective theories give the same string tension.
 Publication:

arXiv eprints
 Pub Date:
 September 2000
 arXiv:
 arXiv:hepth/0009152
 Bibcode:
 2000hep.th....9152K
 Keywords:

 High Energy Physics  Theory;
 High Energy Physics  Lattice;
 High Energy Physics  Phenomenology;
 Nuclear Theory
 EPrint:
 80 pages, 6 figures