Stability of a Chiral Breaking Vaccuum

  • Richard W. Haymaker
  • Juan Perez-Mercader
Part of the Progress in Physics book series (PMP, volume 8)


We would like to discuss an effective potential approach to dynamical symmetry breaking. [1, 2, 3] In this approach, stationary points of the effective potential correspond to solutions of a Schwinger-Dyson equation. The second derivatives of the effective potential give a stability condition. We will exhibit a case in which a symmetry breaking solution of the Schwinger-Dyson equation corresponds to a saddle point of the effective potential and hence is based on a presumed vacuum state that is unstable.1


Symmetry Breaking Effective Potential Grand Unify Theory Fermion Loop Dynamical Symmetry Breaking 
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  1. [1].
    R. Haymaker and J. Perez-Mercader, Phys. Lett. 106B, (1981), 201.Google Scholar
  2. [2].
    R. Haymaker, Acta Physica Polonica, B13, (1982), 575.Google Scholar
  3. [3].
    R. Haymaker and J. Perez-Kercader, Phys. Rev. D27 (1983), 1353.CrossRefGoogle Scholar
  4. [4].
    J. Cornwall, R. Jacklw, and E. Tomboolis, Phys. Rev. D10, (1974), 2028.Google Scholar

Copyright information

© Birkhäuser Boston, Inc. 1983

Authors and Affiliations

  • Richard W. Haymaker
    • 1
  • Juan Perez-Mercader
    • 1
  1. 1.Department of Physics and AstronomyLouisiana State UniversityBaton RougeUSA

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