Chiral symmetry restoration in baryon rich environments

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

doi:10.1016/0550-3213(83)90014-7

Chiral symmetry restoration in baryon rich environments

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

Physics

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Abstract

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).

Original language	English (US)
Pages (from-to)	93-122
Number of pages	30
Journal	Nuclear Physics, Section B
Volume	225
Issue number	1
DOIs	https://doi.org/10.1016/0550-3213(83)90014-7
State	Published - Oct 3 1983

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Nuclear and High Energy Physics

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title = "Chiral symmetry restoration in baryon rich environments",

abstract = "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).",

author = "J. Kogut and H. Matsuoka and M. Stone and Wyld, {H. W.} and S. Shenker and J. Shigemitsu and Sinclair, {D. K.}",

note = "Funding Information: We thank the Research Board of the University of Illinois for allocation of time on the CYBER 175 at Urbana, Illinois and also Professor Ralph Simmons, Department Head of the Loomis Laboratory of Physics for his support and encouragement throughout this project, j This work was supported in part by the National Science Foundation under Grants No. PHY-82-01948 and No. DMR81-17182 and in part by the US Department of Energy under Grant No. DE-AC02-81ER10957, The SU(3) computer simulations were done on the unclassified CDC-7600's at Los Alamos National Laboratory and required 100 CPU hours. We thank David Campbell, The Center for Non-Linear Studies and the Theory Group of LANL for their support.",

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T1 - Chiral symmetry restoration in baryon rich environments

AU - Kogut, J.

AU - Matsuoka, H.

AU - Stone, M.

AU - Wyld, H. W.

AU - Shenker, S.

AU - Shigemitsu, J.

AU - Sinclair, D. K.

N1 - Funding Information: We thank the Research Board of the University of Illinois for allocation of time on the CYBER 175 at Urbana, Illinois and also Professor Ralph Simmons, Department Head of the Loomis Laboratory of Physics for his support and encouragement throughout this project, j This work was supported in part by the National Science Foundation under Grants No. PHY-82-01948 and No. DMR81-17182 and in part by the US Department of Energy under Grant No. DE-AC02-81ER10957, The SU(3) computer simulations were done on the unclassified CDC-7600's at Los Alamos National Laboratory and required 100 CPU hours. We thank David Campbell, The Center for Non-Linear Studies and the Theory Group of LANL for their support.

PY - 1983/10/3

Y1 - 1983/10/3

N2 - 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).

AB - 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).

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Chiral symmetry restoration in baryon rich environments

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