English

Yang-Mills streamlines and semi-classical confinement

High Energy Physics - Lattice 2015-05-20 v1 High Energy Physics - Phenomenology High Energy Physics - Theory

Abstract

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.

Keywords

Cite

@article{arxiv.1012.2308,
  title  = {Yang-Mills streamlines and semi-classical confinement},
  author = {Kurt Langfeld and Ernst-Michael Ilgenfritz},
  journal= {arXiv preprint arXiv:1012.2308},
  year   = {2015}
}

Comments

Invited talk presented at the conference "Quark confinement and the hadron spectrum IX", Madrid, Aug 30 - Sept 3, 2010

R2 v1 2026-06-21T16:56:38.222Z