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Title: Dynamical chiral symmetry breaking and a critical mass

Abstract

On a bounded, measurable domain of non-negative current-quark mass, realistic models of the QCD gap equation can simultaneously admit two nonequivalent dynamical chiral symmetry breaking (DCSB) solutions and a solution that is unambiguously connected with the realization of chiral symmetry in the Wigner mode. The Wigner solution and one of the DCSB solutions are destabilized by a current-quark mass, and both disappear when that mass exceeds a critical value. This critical value also bounds the domain on which the surviving DCSB solution possesses a chiral expansion. This value can therefore be viewed as an upper bound on the domain within which a perturbative expansion in the current-quark mass around the chiral limit is uniformly valid for physical quantities. For a pseudoscalar meson constituted of equal-mass current quarks, it corresponds to a mass m{sub 0{sup -}} {approx} 0.45 GeV. In our discussion, we employ properties of the two DCSB solutions of the gap equation that enable a valid definition of <qq> in the presence of a nonzero current mass. The behavior of this condensate indicates that the essentially dynamical component of chiral symmetry breaking decreases with increasing current-quark mass.

Authors:
; ; ; ;  [1]
  1. Department of Physics, Peking University, Beijing 100871 (China)
Publication Date:
OSTI Identifier:
20990969
Resource Type:
Journal Article
Journal Name:
Physical Review. C, Nuclear Physics
Additional Journal Information:
Journal Volume: 75; Journal Issue: 1; Other Information: DOI: 10.1103/PhysRevC.75.015201; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0556-2813
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; CHIRAL SYMMETRY; CHIRALITY; CRITICAL MASS; CURRENTS; GEV RANGE 01-10; MATHEMATICAL SOLUTIONS; PSEUDOSCALAR MESONS; QUANTUM CHROMODYNAMICS; QUARKS; SYMMETRY BREAKING

Citation Formats

Lei, Chang, Yuxin, Liu, Bhagwat, Mandar S, Roberts, Craig D, Wright, Stewart V, Department of Physics, Peking University, Beijing 100871, Key Laboratory of Heavy Ion Physics, Ministry of Education, Beijing 100871, Center of Theoretical Nuclear Physics, National Laboratory of Heavy Ion Accelerator, Lanzhou 730000, and Physics Division, Argonne National Laboratory, Argonne, Illinois 60439-4843. Dynamical chiral symmetry breaking and a critical mass. United States: N. p., 2007. Web. doi:10.1103/PHYSREVC.75.015201.
Lei, Chang, Yuxin, Liu, Bhagwat, Mandar S, Roberts, Craig D, Wright, Stewart V, Department of Physics, Peking University, Beijing 100871, Key Laboratory of Heavy Ion Physics, Ministry of Education, Beijing 100871, Center of Theoretical Nuclear Physics, National Laboratory of Heavy Ion Accelerator, Lanzhou 730000, & Physics Division, Argonne National Laboratory, Argonne, Illinois 60439-4843. Dynamical chiral symmetry breaking and a critical mass. United States. https://doi.org/10.1103/PHYSREVC.75.015201
Lei, Chang, Yuxin, Liu, Bhagwat, Mandar S, Roberts, Craig D, Wright, Stewart V, Department of Physics, Peking University, Beijing 100871, Key Laboratory of Heavy Ion Physics, Ministry of Education, Beijing 100871, Center of Theoretical Nuclear Physics, National Laboratory of Heavy Ion Accelerator, Lanzhou 730000, and Physics Division, Argonne National Laboratory, Argonne, Illinois 60439-4843. 2007. "Dynamical chiral symmetry breaking and a critical mass". United States. https://doi.org/10.1103/PHYSREVC.75.015201.
@article{osti_20990969,
title = {Dynamical chiral symmetry breaking and a critical mass},
author = {Lei, Chang and Yuxin, Liu and Bhagwat, Mandar S and Roberts, Craig D and Wright, Stewart V and Department of Physics, Peking University, Beijing 100871 and Key Laboratory of Heavy Ion Physics, Ministry of Education, Beijing 100871 and Center of Theoretical Nuclear Physics, National Laboratory of Heavy Ion Accelerator, Lanzhou 730000 and Physics Division, Argonne National Laboratory, Argonne, Illinois 60439-4843},
abstractNote = {On a bounded, measurable domain of non-negative current-quark mass, realistic models of the QCD gap equation can simultaneously admit two nonequivalent dynamical chiral symmetry breaking (DCSB) solutions and a solution that is unambiguously connected with the realization of chiral symmetry in the Wigner mode. The Wigner solution and one of the DCSB solutions are destabilized by a current-quark mass, and both disappear when that mass exceeds a critical value. This critical value also bounds the domain on which the surviving DCSB solution possesses a chiral expansion. This value can therefore be viewed as an upper bound on the domain within which a perturbative expansion in the current-quark mass around the chiral limit is uniformly valid for physical quantities. For a pseudoscalar meson constituted of equal-mass current quarks, it corresponds to a mass m{sub 0{sup -}} {approx} 0.45 GeV. In our discussion, we employ properties of the two DCSB solutions of the gap equation that enable a valid definition of <qq> in the presence of a nonzero current mass. The behavior of this condensate indicates that the essentially dynamical component of chiral symmetry breaking decreases with increasing current-quark mass.},
doi = {10.1103/PHYSREVC.75.015201},
url = {https://www.osti.gov/biblio/20990969}, journal = {Physical Review. C, Nuclear Physics},
issn = {0556-2813},
number = 1,
volume = 75,
place = {United States},
year = {Mon Jan 15 00:00:00 EST 2007},
month = {Mon Jan 15 00:00:00 EST 2007}
}