Chaos in the Yang-Mills theory and cosmology: quantum aspects

Abstract

I describe the footprints of the classical chaos of the Yang-Mills fields in the quantum description. I also review the behavior of the BKL chaotic approach to the classical singularity on the basis of the Loop Quantum Gravity.

Comments: 15 pages, based on the invited talk to the MG11 meeting in Berlin, Germany, July 23-29, 2006