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Confinement in non-linear classical field-theory: a model of Dirac quarks



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Fernández-Rañada, Antonio (1983) Confinement in non-linear classical field-theory: a model of Dirac quarks. Physica D-Nonlinear Phenomena, 9 (01-02). pp. 251-265. ISSN 0167-2789

Official URL: http://dx.doi.org/10.1016/0167-2789(83)90302-0


We present a model in which a hadron is represented as a bound state of several nonlinear Dirac fields which we identify with the quarks. These fields interact by a fourth order coupling term. We define a particle as any finite energy solitary wave solution of the field equations and we show that the model admits only two kinds of particles: a) three quark (or three antiquark) states and b) n(quark-antiquark) states, n = 1, 2, 3. The Dirac fields are never free and, as they cannot show up as particles because there are no one field solitary waves, they are absolutely confined.

Item Type:Article
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© 1983 Published by Elsevier B.V.

Subjects:Sciences > Physics > Electricity
Sciences > Physics > Electronics
ID Code:25305
Deposited On:12 May 2014 08:09
Last Modified:10 Dec 2018 14:58

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