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Title: Exactly solvable model of low energy QCD

Abstract

Starting from the QCD Hamiltonian, we derive a schematic Hamiltonian for low energy quark dynamics with quarks restricted to the lowest s-level. The resulting eigenvalue problem can be solved analytically. Even though the Hamiltonian exhibits explicit chiral symmetry the severe restriction of the number of degrees of freedom breaks the pattern of chiral symmetry breaking for finite quark masses.

Authors:
;  [1];  [2]
  1. Instituto de Ciencias Nucleares, Univiversidad Nacional Autonoma de Mexico, Apdo. Postal 70-543, Mexico 04510 D.F. (Mexico)
  2. (United States)
Publication Date:
OSTI Identifier:
20771288
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. C, Nuclear Physics; Journal Volume: 73; Journal Issue: 2; Other Information: DOI: 10.1103/PhysRevC.73.025201; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; CHIRAL SYMMETRY; DEGREES OF FREEDOM; EIGENVALUES; EXACT SOLUTIONS; HAMILTONIANS; QUANTUM CHROMODYNAMICS; QUARKS; REST MASS; S STATES; SYMMETRY BREAKING

Citation Formats

Hess, Peter O., Szczepaniak, Adam P., and Department of Physics and Nuclear Theory Center, Indiana University, Bloomington, Indiana 47405-4202. Exactly solvable model of low energy QCD. United States: N. p., 2006. Web. doi:10.1103/PhysRevC.73.025201.
Hess, Peter O., Szczepaniak, Adam P., & Department of Physics and Nuclear Theory Center, Indiana University, Bloomington, Indiana 47405-4202. Exactly solvable model of low energy QCD. United States. doi:10.1103/PhysRevC.73.025201.
Hess, Peter O., Szczepaniak, Adam P., and Department of Physics and Nuclear Theory Center, Indiana University, Bloomington, Indiana 47405-4202. Wed . "Exactly solvable model of low energy QCD". United States. doi:10.1103/PhysRevC.73.025201.
@article{osti_20771288,
title = {Exactly solvable model of low energy QCD},
author = {Hess, Peter O. and Szczepaniak, Adam P. and Department of Physics and Nuclear Theory Center, Indiana University, Bloomington, Indiana 47405-4202},
abstractNote = {Starting from the QCD Hamiltonian, we derive a schematic Hamiltonian for low energy quark dynamics with quarks restricted to the lowest s-level. The resulting eigenvalue problem can be solved analytically. Even though the Hamiltonian exhibits explicit chiral symmetry the severe restriction of the number of degrees of freedom breaks the pattern of chiral symmetry breaking for finite quark masses.},
doi = {10.1103/PhysRevC.73.025201},
journal = {Physical Review. C, Nuclear Physics},
number = 2,
volume = 73,
place = {United States},
year = {Wed Feb 15 00:00:00 EST 2006},
month = {Wed Feb 15 00:00:00 EST 2006}
}