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Chiral random matrix models in QCD

  • Romuald A. Janik
  • , Maciej A. Novvak
  • , Gabor Papp
  • , Ismail Zahed
  • CEA Saclay
  • Jagiellonian University in Kraków
  • Stony Brook University
  • GSI Helmholtz Centre for Heavy Ion Research
  • Kent State University

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

Abstract

We review some motivation behind the introduction of chiral random matrix models in QCD, with particular emphasis on the importance of the Gell-Mann-Oakes-Renner (GOR) relation for these arguments. We show why the microscopic limit is universal in power counting, and present arguments for why the macroscopic limit is generic for a class of problems that defy power counting, examples being the strong CP and U(l) problems. We also discuss some of our new results in light of recent lattice simulations.

Original languageEnglish
Pages (from-to)3957-3988
Number of pages32
JournalActa Physica Polonica B
Volume29
Issue number12
StatePublished - 1998

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