Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Experiment Videos

QCD dirac operator at nonzero chemical potential: lattice data and matrix model.

Gernot Akemann1, Tilo Wettig

  • 1Service de Physique Théorique, CEA/DSM/SPhT Saclay, Unité de recherche associée au CNRS, F-91191 Gif-sur-Yvette, France.

Physical Review Letters
|April 20, 2004
PubMed
Summary

A novel random matrix model accurately describes QCD Dirac operator eigenvalues at nonzero chemical potential. This finding validates the model

Related Concept Videos

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

<b>mhn</b>: a Python package for analyzing cancer progression with Mutual Hazard Networks.

Bioinformatics advances·2026
Same author

Modeling metastatic progression from cross-sectional cancer genomics data.

Bioinformatics (Oxford, England)·2024
Same author

Low-rank tensor methods for Markov chains with applications to tumor progression models.

Journal of mathematical biology·2022
Same author

Spacing distribution in the two-dimensional Coulomb gas: Surmise and symmetry classes of non-Hermitian random matrices at noninteger β.

Physical review. E·2022
Same author

Approximation formula for complex spacing ratios in the Ginibre ensemble.

Physical review. E·2022
Same author

Universality of local spectral statistics of products of random matrices.

Physical review. E·2020

Area of Science:

  • Quantum Chromodynamics (QCD)
  • Chiral Random Matrix Theory
  • Lattice Field Theory

Background:

  • The QCD Dirac operator's eigenvalues are crucial for understanding QCD at nonzero chemical potential.
  • A non-Hermitian chiral random matrix model was recently proposed as a theoretical tool.
  • This model shares symmetries with QCD, suggesting a potential connection.

Purpose of the Study:

  • To investigate the conjecture that microscopic spectral correlations of the matrix model match those of the QCD Dirac operator.
  • To compare predictions from the matrix model with lattice QCD data.

Main Methods:

  • Generating large ensembles of Dirac eigenvalues in quenched SU(3) lattice QCD.
  • Simulating QCD at nonzero chemical potential.
  • Comparing lattice data with analytical predictions from the non-Hermitian chiral random matrix model.

Related Experiment Videos

Main Results:

  • Excellent agreement was found between the matrix model predictions and lattice QCD data.
  • The agreement holds across different lattice volumes.
  • The model shows accuracy in both weak and strong non-Hermiticity regimes.

Conclusions:

  • The study provides strong evidence supporting the conjecture about the matrix model's applicability to QCD.
  • The non-Hermitian chiral random matrix model is a validated tool for studying QCD spectral properties.
  • This work advances the understanding of QCD at nonzero chemical potential.