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Quantum fluctuations and dynamical chaos: An effective potential approach

  • Part III. Invited Papers Dedicated to Lawrence Biedenharn
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Abstract

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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Authors and Affiliations

  1. Department of Physics, Duke University, 27708-0305, Durham, North Carolina

    Sergei G. Matinyan

  2. Yerevan Physics Institute, Armenia

    Sergei G. Matinyan

  3. Department of Physics, Duke University, 27708-0305, Durham, North Carolina

    Berndt Müller

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  1. Sergei G. Matinyan
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  2. Berndt Müller
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Matinyan, S.G., Müller, B. Quantum fluctuations and dynamical chaos: An effective potential approach. Found Phys 27, 1237–1255 (1997). https://doi.org/10.1007/BF02551526

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  • DOI: https://doi.org/10.1007/BF02551526

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