Chiral disorder and diffusion of light quarks in the QCD vacuum

Romuald A. Janik, Maciej A. Nowak, G. Papp, Ismail Zahed

Research output: Chapter in Book/Report/Conference proceedingChapter

2 Citations (Scopus)

Abstract

We 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 = 2Fπ2/|〈qq〉| 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 Ec = D/√V4 which is the inverse diffusion time in an Euclidean four-volume V4.

Original languageEnglish
Title of host publicationActa Physica Polonica B
Pages3215-3224
Number of pages10
Volume29
Edition11
Publication statusPublished - 1998

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quantum chromodynamics
disorders
quarks
vacuum
matrix theory
perturbation theory
symmetry
metals
electrons
energy

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Janik, R. A., Nowak, M. A., Papp, G., & Zahed, I. (1998). Chiral disorder and diffusion of light quarks in the QCD vacuum. In Acta Physica Polonica B (11 ed., Vol. 29, pp. 3215-3224)

Chiral disorder and diffusion of light quarks in the QCD vacuum. / Janik, Romuald A.; Nowak, Maciej A.; Papp, G.; Zahed, Ismail.

Acta Physica Polonica B. Vol. 29 11. ed. 1998. p. 3215-3224.

Research output: Chapter in Book/Report/Conference proceedingChapter

Janik, RA, Nowak, MA, Papp, G & Zahed, I 1998, Chiral disorder and diffusion of light quarks in the QCD vacuum. in Acta Physica Polonica B. 11 edn, vol. 29, pp. 3215-3224.
Janik RA, Nowak MA, Papp G, Zahed I. Chiral disorder and diffusion of light quarks in the QCD vacuum. In Acta Physica Polonica B. 11 ed. Vol. 29. 1998. p. 3215-3224
Janik, Romuald A. ; Nowak, Maciej A. ; Papp, G. ; Zahed, Ismail. / Chiral disorder and diffusion of light quarks in the QCD vacuum. Acta Physica Polonica B. Vol. 29 11. ed. 1998. pp. 3215-3224
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