Nonlinear Phenomena in Complex Systems, 2007, Vol.10, No.1, pp.16-29

NONLINEAR PHENOMENA IN COMPLEX SYSTEMS
An Interdisciplinary Journal

2007, Vol.10, No.1, pp.16-29

Gauge Fields and Chaos Theory.
V. I. Kuvshinov, P. V. Buividovich, and A. V. Kuzmin

This review article focuses on the connection between chaos theory and gauge theories. We consider operator-valued stochastic fields and illustrate their application on the examples of the classical motion on Riemann manifolds, quarks in QCD stochastic vacuum and random errors in holonomic quantum computations. An analogy is discussed between QCD vacuum and environment in quantum information theory. Recent results on chaos assisted instanton tunneling are reviewed.
Key words: QCD, chaos, instanton, stochastic vacuum

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