[en] We examine random matrix models of QCD which are capable of supporting both chiral and diquark condensation. A numerical study of the spectral densities near zero virtuality shows that the introduction of color in the interactions does not alter the one-body results imposed by chiral symmetry. A model with three colors has the spectral density predicted for the chiral ensemble with a Dyson index beta=2; a pseudoreal model with two colors exhibits the spectral density of the chiral ensemble with beta=1.
Disciplines :
Physics
Author, co-author :
Vanderheyden, Benoît ; Université de Liège - ULiège > Dép. d'électric., électron. et informat. (Inst.Montefiore) > Electronique et microsystèmes
Jackson, A. D.; The Niels Bohr Institute, Copenhague, Danemark
Language :
English
Title :
Microscopic spectral density in random matrix models for chiral and diquark condensation
Publication date :
2003
Journal title :
Physical Review. D, Particles and Fields
ISSN :
0556-2821
eISSN :
1089-4918
Publisher :
American Physical Soc, College Pk, United States - Maryland
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Bibliography
For a review of (Formula presented) see J. J. M. Verbaarschot and T. Wettig, Annu. Rev. Nucl. Part. Sci. 50, 343 (2000).
E. V. Shuryak and J. J. M. Verbaarschot, Nucl. Phys. A560, 306 (1993)
J. J. M. Verbaarschot, Phys. Rev. Lett. 72, 2531 (1994)
J. J. M. VerbaarschotPhys. Lett. B 329, 351 (1994).
J. J. M. Verbaarschot and I. Zahed, Phys. Rev. Lett. 70, 3852 (1993).
J. J. M. Verbaarschot, Nucl. Phys. B427, 534 (1994).
J. J. M. Verbaarschot, Nucl. Phys. B426[FS], 559 (1994).
A. D. Jackson and J. J. M. Verbaarschot, Phys. Rev. D 53, 7223 (1996).
M. A. Halasz, A. D. Jackson, R. E. Schrock, M. A. Stephanov, and J. J. M. Verbaarschot, Phys. Rev. D 58, 096007 (1998).
M. G. Alford, A. Kapustin, and F. Wilczek, Phys. Rev. D 59, 054502 (1999).
S. Chandrasekharan and U. J. Wiese, Phys. Rev. Lett. 83, 3116 (1999).
Z. Fodor and S. D. Katz, Phys. Lett. B 534, 87 (2002)
Z. FodorS. D. KatzJ. High Energy Phys. 03, 014 (2002).
P. de Forcrand and O. Philipsen, Nucl. Phys. B642, 290 (2002).
B. Barrois, Nucl. Phys. B129, 390 (1977)
D. Bailin and A. Love, Phys. Rep. 107, 325 (1984).
R. Rapp, T. Schäfer, E. V. Shuryak, and M. Velkovsky, Phys. Rev. Lett. 81, 53 (1998)
R. RappT. SchäferE. V. ShuryakM. VelkovskyAnn. Phys. (N.Y.) 280, 35 (2000).
M. Alford, K. Rajagopal, and F. Wilczek, Phys. Lett. B 422, 247 (1998).
For a review on color superconductivity, see K. Rajagopal and F. Wilczek, B. L. Ioffe Festschrift: At the Frontier of Particle Physics/Handbook of QCD, edited by M. Shifman (World Scientific, Singapore, 2001), Vol. 3, p. 2061, hep-ph/0011333.
B. Vanderheyden and A. D. Jackson, Phys. Rev. D 61, 076004 (2000)
Phys. Rev. DB. VanderheydenA. D. Jackson62, 094010 (2000).
B. Vanderheyden and A. D. Jackson, Phys. Rev. D 64, 074016 (2001).
J. B. Kogut, M. A. Stephanov, and D. Toublan, Phys. Lett. B 464, 183 (1999).
J. B. Kogut, M. A. Stephanov, D. Toublan, J. J. M. Verbaarschot, and A. Zhitnitsky, Nucl. Phys. B582, 477 (2000).
K. Splittorff, D. T. Son, and M. A. Stephanov, Phys. Rev. D 64, 016003 (2001).
K. Splittorff, D. Toublan, and J. J. M. Verbaarschot, Nucl. Phys. B620, 290 (2002).
T. Banks and A. Casher, Nucl. Phys. B169, 103 (1980).
P. J. Forrester, P. Nagao, and G. Honner, Nucl. Phys. B533, 601 (1999).
B. Klein and J. J. M. Verbaarschot, Nucl. Phys. B588, 483 (2000).
A. D. Jackson, C. B. Lang, M. Oswald, and K. Splittorff, Nucl. Phys. B616, 233 (2001).
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