English

On Chiral Symmetry Breaking, Topology and Confinement

Nuclear Theory 2015-06-18 v1 High Energy Physics - Phenomenology

Abstract

We start with the relation between the chiral symmetry breaking and gauge field topology. New lattice result further enhance the notion of Zero Mode Zone, a very narrow strip of states with quasizero Dirac eigenvalues. Then we move to the issue of "origin of mass" and Brown-RHo scaling: a number of empirical facts contradicts to the idea that masses of quarks and such hadrons as ρ,N\rho,N decrease near TcT_c. We argue that while at T=0T=0 the main contribution to the effective quark mass is chirally odd m\snchim_{\snchi}, near TcT_c it rotates to chirally-even component mχm_\chi, because "infinite clusters" of topological solitons gets split into finite ones. Recent progress in understanding of topology require introduction of nonzero holonomy <A0>0<A_0>\neq 0, which splits instantons into NcN_c (anti)selfdual "instanton-dyons". Qualitative progress, as well as first numerical studios of the dyon ensemble are reported. New connections between chiral symmetry breaking and confinement are recently understood, since instanton-dyons generates holonomy potential with a minimum at confining value, if the ensemble is dense enough.

Keywords

Cite

@article{arxiv.1401.2032,
  title  = {On Chiral Symmetry Breaking, Topology and Confinement},
  author = {Edward Shuryak},
  journal= {arXiv preprint arXiv:1401.2032},
  year   = {2015}
}

Comments

Written contribution to proceedings of Memorial conference for Prof.Gerald E. Brown, (Stony Brook, November 2013), to appear in a special volume of Nucl.Phys.A