Stability of a Chiral Breaking Vaccuum
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
KeywordsSymmetry Breaking Effective Potential Grand Unify Theory Fermion Loop Dynamical Symmetry Breaking
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