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QCD as a mesoscopic system

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

We discuss the statistical properties of the smallest eigenvalues of the QCD Dirac operator both at zero and at nonzero chemical potential. We show that they are given by a Random Matrix Model with the global symmetries of QCD. Our work is motivated by the realization that lattice QCD with today's computational resources is a disordered mesoscopic system with a physical scale, the mass of the lightest quark, that is of the order of the smallest nonzero Dirac eigenvalue. Lattice QCD results for the QCD Dirac spectrum are discussed and recent progress on QCD at nonzero chemical potential is reviewed.

Original languageEnglish
Title of host publicationNUCLEI AND MESOSCOPIC PHYSICS
Subtitle of host publicationWorkshop on Nuclei and Mesoscopic Physics, WNMP 2004
Pages270-292
Number of pages23
DOIs
StatePublished - Jul 8 2005
EventNUCLEI AND MESOSCOPIC PHYSICS: Workshop on Nuclei and Mesoscopic Physics, WNMP 2004 - East Lansing, MI, United States
Duration: Oct 23 2004Oct 26 2004

Publication series

NameAIP Conference Proceedings
Volume777
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

ConferenceNUCLEI AND MESOSCOPIC PHYSICS: Workshop on Nuclei and Mesoscopic Physics, WNMP 2004
Country/TerritoryUnited States
CityEast Lansing, MI
Period10/23/0410/26/04

Keywords

  • Dirac Spectrum
  • QCD
  • Random Matrix Theory

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