Chiral Disorder and Diffusion of Light Quarks in the QCD Vacuum

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dc.creatorJanik, Romuald A.
dc.creatorNowak, Maciej A.
dc.creatorPapp, Gabor
dc.creatorZahed, Ismail
dc.date1998-07-22
dc.date.accessioned2026-07-07T04:04:21Z
dc.date.available2026-07-07T04:04:21Z
dc.descriptionWe give a pedagogical introduction to the concept that light quarks diffuse in the QCD vacuum following the spontaneous breaking of chiral symmetry. By analogy with disordered electrons in metals, we show that the diffusion constant for light quarks in QCD is $D=2F_π^2/|\la\bar{q}q\to|$ which is about 0.22 fm. We comment on the correspondence between the diffusive phase and the chiral phase as described by chiral perturbation theory, as well as the cross-over to the ergodic phase as described by random matrix theory. The cross-over is identified with the Thouless energy $E_c=D/\sqrt{V_4}$ which is the inverse diffusion time in an Euclidean four-volume $V_4$.
dc.description9 pages in APPB sty (included). Invited talk by MAN at the Workshop on the Structure of Mesons, Baryons and Nuclei, Cracow, May 26-30, 1998
dc.identifierhttps://arxiv.org/abs/hep-ph/9807467
dc.identifierhttp://arxiv.org/abs/hep-ph/9807467
dc.identifierActa Phys.Polon. B29 (1998) 3215-3224
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/48056
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectCondensed Matter
dc.subjectHigh Energy Physics - Lattice
dc.subjectNuclear Theory
dc.titleChiral Disorder and Diffusion of Light Quarks in the QCD Vacuum
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