Confinement in nonlinear classical field theory: A model of dirac quarks
Abstract
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.
- Publication:
-
Physica D Nonlinear Phenomena
- Pub Date:
- October 1983
- DOI:
- 10.1016/0167-2789(83)90302-0
- Bibcode:
- 1983PhyD....9..251R