Chiral Symmetry Restoration in Baryon Rich Environments

Chiral symmetry restoration in an environment rich in baryons is studied by computer simulation methods in SU(2) and SU(3) gauge theories in the quenched approximation. The basic theory of symmetry restoration as a function of chemical potential is illusstrated and the implementation of the ideas on a lattice is made explicit. A simple mean field model is presented to guide one's expectations. The second order conjugate-gradient iterative method and the pseudo-fermion Monte Carlo procedure are convergent methods of calculating the fermion propagator in an environment rich in baryons. Computer simulations of SU(3) gauge theory show an abrupt chiral symmetry restoring transition and the critical chemical potential and induced baryon density are estimated crudely. A smoother transition is observed for the color group SU(2).

GAUGE FIELD THEORY: SU(2)
GAUGE FIELD THEORY: SU(3)
SYMMETRY: CHIRAL
LATTICE FIELD THEORY: CRITICAL PHENOMENA
BARYON: MODEL
FERMION: PROPAGATOR
BARYON: DENSITY
DENSITY: HIGH
APPROXIMATION: QUENCHING
APPROXIMATION: MEAN FIELD

References(8)

Figures(0)

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