Chiral-symmetry restoration in baryon-rich environments

Technical Report · Fri Apr 01 04:00:00 EST 1983

OSTI ID:6089622

Kogut, J; Matsuoka, H; Stone, M; Wyld, H W; Shenker, S; Shigemitsu, J; Sinclair, D K

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 illustrated 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).

• Research Organization: Ohio State Univ., Columbus (USA). Dept. of Physics
• DOE Contract Number: AC02-76ER01545
• OSTI ID: 6089622
• Report Number(s): DOE/ER/01545-334; ON: DE83012317
• Country of Publication: United States
• Language: English

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71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
BARYON NUMBER
BARYONS
CHARGED-PARTICLE REACTIONS
CHIRAL SYMMETRY
COMPUTERIZED SIMULATION
COSMOLOGY
DENSITY
ELEMENTARY PARTICLES
FERMIONS
FIELD THEORIES
HADRONS
HEAVY ION REACTIONS
ITERATIVE METHODS
LIE GROUPS
MATTER
MONTE CARLO METHOD
NEUTRON STARS
NUCLEAR MATTER
NUCLEAR REACTIONS
NUMERICAL SOLUTION
PHYSICAL PROPERTIES
POSTULATED PARTICLES
PROPAGATOR
QUANTUM FIELD THEORY
QUARKS
SIMULATION
STARS
SU GROUPS
SU-2 GROUPS
SU-3 GROUPS
SYMMETRY
SYMMETRY BREAKING
SYMMETRY GROUPS
THERMODYNAMICS