On Chiral Symmetry Breaking, Topology and Confinement

Edward Shuryak

doi:10.1016/j.nuclphysa.2014.03.006

paper

On Chiral Symmetry Breaking, Topology and Confinement

arXiv:1401.2032 · doi:10.1016/j.nuclphysa.2014.03.006

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 $ρ, N$ decrease near $T_{c}$ . We argue that while at $T = 0$ the main contribution to the effective quark mass is chirally odd $m_{\snchi}$, near $T_{c}$ it rotates to chirally-even component $m_{χ}$ , because "infinite clusters" of topological solitons gets split into finite ones. Recent progress in understanding of topology require introduction of nonzero holonomy $< A_{0} > \neq = 0$ , which splits instantons into $N_{c}$ (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.

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

On Chiral Symmetry Breaking, Topology and Confinement

Abstract

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