Quantum Fluctuations and Dynamical Chaos: An Effective Potential Approach

Details Quantum Fluctuations and Dynamical Chaos: An Effective Potential Approach Quantum Fluctuations and Dynamical Chaos: An Effective Potential Approach

1996-10-29

arxiv.org/abs/hep-th/9610233v2

Found.Phys. 27 (1997) 1237-1255

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, contribution to a special volume of ``Foundations in Physics'' commemorating L.C. Biedenharn (minor corrections)

Scientific paper

10.1007/BF02551526

We discuss the intimate connection between the chaotic dynamics of a classical field theory and the instability of the one-loop effective action of the associated quantum field theory. Using the example of massless scalar electrodynamics, we show how the radiatively induced spontaneous symmetry breaking stabilizes the vacuum state against chaos, and we speculate that monopole condensation can have the same effect in non-Abelian gauge theories.

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