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Yang-Mills streamlines and semi-classical confinement

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arxiv 1012.2308 v1 pith:2HACGY4U submitted 2010-12-10 hep-lat hep-phhep-th

Yang-Mills streamlines and semi-classical confinement

classification hep-lat hep-phhep-th
keywords configurationssemi-classicalstructureconfinementspace-timestreamlineyang-millsalthough
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Semi-classical configurations in Yang-Mills theory have been derived from lattice Monte Carlo configurations using a recently proposed constrained cooling technique which is designed to preserve every Polyakov line (at any point in space-time in any direction). Consequently, confinement was found sustained by the ensemble of semi-classical configurations. The existence of gluonic and fermionic near-to-zero modes was demonstrated as a precondition for a possible semi-classical expansion around the cooled configurations as well as providing the gapless spectrum of the Dirac operator necessary for chiral symmetry breaking. The cluster structure of topological charge of the semi-classical streamline configurations was analysed and shown to support the axial anomaly of the right size, although the structure differs from the instanton gas or liquid. Here, we present further details on the space-time structure and the time evolution of the streamline configurations.

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