Quantum Fluctuations and Dynamical Chaos: An Effective Potential Approach
High Energy Physics - Theory
2009-10-30 v2
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.
Cite
@article{arxiv.hep-th/9610233,
title = {Quantum Fluctuations and Dynamical Chaos: An Effective Potential Approach},
author = {Sergei G. Matinyan and Berndt Müller},
journal= {arXiv preprint arXiv:hep-th/9610233},
year = {2009}
}
Comments
12 pages, contribution to a special volume of ``Foundations in Physics'' commemorating L.C. Biedenharn (minor corrections)