Abstract
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
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References
R. Haymaker and J. Perez-Mercader, Phys. Lett. 106B, (1981), 201.
R. Haymaker, Acta Physica Polonica, B13, (1982), 575.
R. Haymaker and J. Perez-Kercader, Phys. Rev. D27 (1983), 1353.
J. Cornwall, R. Jacklw, and E. Tomboolis, Phys. Rev. D10, (1974), 2028.
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© 1983 Birkhäuser Boston, Inc.
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Haymaker, R.W., Perez-Mercader, J. (1983). Stability of a Chiral Breaking Vaccuum. In: Milton, K.A., Samuel, M.A. (eds) Workshop on Non-Perturbative Quantum Chromodynamics. Progress in Physics, vol 8. Birkhäuser Boston. https://doi.org/10.1007/978-1-4612-5619-9_20
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DOI: https://doi.org/10.1007/978-1-4612-5619-9_20
Publisher Name: Birkhäuser Boston
Print ISBN: 978-0-8176-3127-7
Online ISBN: 978-1-4612-5619-9
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