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Title: Phase diagram of the Dirac spectrum at nonzero chemical potential

Abstract

The Dirac spectrum of QCD with dynamical fermions at nonzero chemical potential is characterized by three regions: a region with a constant eigenvalue density, a region where the eigenvalue density shows oscillations that grow exponentially with the volume and the remainder of the complex plane where the eigenvalue density is zero. In this paper we derive the phase diagram of the Dirac spectrum from a chiral Lagrangian. We show that the constant eigenvalue density corresponds to a pion condensed phase while the strongly oscillating region is given by a kaon condensed phase. The normal phase with nonzero chiral condensate but vanishing Bose condensates coincides with the region of the complex plane where there are no eigenvalues.

Authors:
 [1];  [2];  [3]
  1. Argonne Leadership Computing Facility, 9700 South Cass Avenue, Argonne, Illinois 60439 (United States)
  2. The Niels Bohr Institute, Blegdamsvej 17, DK-2100, Copenhagen O (Denmark)
  3. Department of Physics and Astronomy, SUNY, Stony Brook, New York 11794 (United States)
Publication Date:
OSTI Identifier:
21250937
Resource Type:
Journal Article
Journal Name:
Physical Review. D, Particles Fields
Additional Journal Information:
Journal Volume: 78; Journal Issue: 10; Other Information: DOI: 10.1103/PhysRevD.78.105006; (c) 2008 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0556-2821
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; CHIRALITY; CONDENSATES; DENSITY; EIGENVALUES; FERMIONS; KAONS; LAGRANGIAN FUNCTION; OSCILLATIONS; PHASE DIAGRAMS; PIONS; POTENTIALS; QUANTUM CHROMODYNAMICS; SPECTRA

Citation Formats

Osborn, J C, Center for Computational Science, Boston University, Boston, Massachusetts 02215, Splittorff, K, and Verbaarschot, J J. M. Phase diagram of the Dirac spectrum at nonzero chemical potential. United States: N. p., 2008. Web. doi:10.1103/PHYSREVD.78.105006.
Osborn, J C, Center for Computational Science, Boston University, Boston, Massachusetts 02215, Splittorff, K, & Verbaarschot, J J. M. Phase diagram of the Dirac spectrum at nonzero chemical potential. United States. https://doi.org/10.1103/PHYSREVD.78.105006
Osborn, J C, Center for Computational Science, Boston University, Boston, Massachusetts 02215, Splittorff, K, and Verbaarschot, J J. M. 2008. "Phase diagram of the Dirac spectrum at nonzero chemical potential". United States. https://doi.org/10.1103/PHYSREVD.78.105006.
@article{osti_21250937,
title = {Phase diagram of the Dirac spectrum at nonzero chemical potential},
author = {Osborn, J C and Center for Computational Science, Boston University, Boston, Massachusetts 02215 and Splittorff, K and Verbaarschot, J J. M.},
abstractNote = {The Dirac spectrum of QCD with dynamical fermions at nonzero chemical potential is characterized by three regions: a region with a constant eigenvalue density, a region where the eigenvalue density shows oscillations that grow exponentially with the volume and the remainder of the complex plane where the eigenvalue density is zero. In this paper we derive the phase diagram of the Dirac spectrum from a chiral Lagrangian. We show that the constant eigenvalue density corresponds to a pion condensed phase while the strongly oscillating region is given by a kaon condensed phase. The normal phase with nonzero chiral condensate but vanishing Bose condensates coincides with the region of the complex plane where there are no eigenvalues.},
doi = {10.1103/PHYSREVD.78.105006},
url = {https://www.osti.gov/biblio/21250937}, journal = {Physical Review. D, Particles Fields},
issn = {0556-2821},
number = 10,
volume = 78,
place = {United States},
year = {Sat Nov 15 00:00:00 EST 2008},
month = {Sat Nov 15 00:00:00 EST 2008}
}