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Finding the pion in the chiral random matrix vacuum
Phys. Rev. D 61, 077902 – Published 6 March, 2000
DOI: https://doi.org/10.1103/PhysRevD.61.077902
Abstract
The existence of a Goldstone boson is demonstrated in chiral random matrix theory. After determining the effective coupling and calculating the scalar and pseudoscalar propagators, a random phase approximation summation reveals the massless pion and massive sigma modes expected whenever chiral symmetry is spontaneously broken.
References (9)
- E. Shuryak and J. J. M. Verbaarschot, Nucl. Phys. A560, 306 (1993).
- J. J. M. Verbaarschot, “The Infrared Limit of the QCD Dirac Spectrum and Applications of Chiral Random Matrix Theory to QCD,” hep-ph/9902394.
- T. Banks and A. Casher, Nucl. Phys. B169, 103 (1980).
- M. A. Halasz, A. D. Jackson, R. E. Shrock, M. A. Stephanov, and J. J. M. Verbaarschot, Phys. Rev. D 58, 096007 (1998).
- A. D. Jackson, M. K. Şener, and J. J. M. Verbaarschot, Nucl. Phys. B506, 612 (1997).
- G. Akemann, P. H. Damgaard, U. Magnea, and S. M. Nishigaki, Nucl. Phys. B519, 682 (1998).
- M. Metha, Random Matrices (Academic, San Diego, 1991).
- A. D. Jackson and J. J. M. Verbaarschot, Phys. Rev. D 53, 7223 (1996).
- J. J. M. Verbaarschot and I. Zahed, Phys. Rev. Lett. 70, 3852 (1993).