Renormalization group approach to chaotic strings
نویسندگان
چکیده
Coupled map lattices of weakly coupled Chebychev maps, so-called chaotic strings, have a profound physical meaning in terms of dynamical models of vacuum fluctuations in stochastically quantized field theories. Here we present analytic results for the invariant density of chaotic strings, as well as for the coupling parameter dependence of given observables of the chaotic string such as the vacuum expectation value. A highly nontrivial and selfsimilar parameter dependence is found, produced by perturbative and nonperturbative effects, for which we develop a renormalization group theory. Our analytic results are in excellent agreement with numerical simulations of the chaotic dynamics.
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