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Statistical QCD with non-positive measure

  • Argonne National Laboratory
  • Boston University
  • University of Copenhagen

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

1 Scopus citations

Abstract

In this talk we discuss the microscopic limit of QCD at nonzero chemical potential. In this domain, where the QCD partition function is under complete analytical control, we uncover an entirely new link between the spectral density of the Dirac operator and the chiral condensate: violent complex oscillations on the microscopic scale give rise to the discontinuity of the chiral condensate at zero quark mass. We first establish this relation exactly within a random matrix framework and then analyze the importance of the individual modes by Fourier analysis.

Original languageEnglish
Title of host publicationContinuous Advances in QCD 2008 - Proceedings of the Conference
PublisherWorld Scientific Publishing Co. Pte. Ltd.
Pages135-147
Number of pages13
ISBN (Print)9812838651, 9789812838650
DOIs
StatePublished - 2008
Event8th Workshop on Continuous Advances in QCD 2008 - Minneapolis, MN, United States
Duration: May 15 2008May 18 2008

Publication series

NameContinuous Advances in QCD 2008 - Proceedings of the Conference

Conference

Conference8th Workshop on Continuous Advances in QCD 2008
Country/TerritoryUnited States
CityMinneapolis, MN
Period05/15/0805/18/08

Keywords

  • Nonperturbative QCD
  • Random matrix theory
  • Sign problem

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