Lattice Results for the QCD Phase Transition

We discuss recent results for the phase transition in finite-temperature QCD from numerical (Monte Carlo) simulations of the lattice-regularized theory. Emphasis is given to the case of two degenerate light-quark flavors. The order of the transition in this case, which could have cosmological implications, has not yet been established.Comment: To appear in the Proceedings of the 1st Latin American Workshop on High Energy Phenomenology, Porto Alegre, Brazil, 1-3 Dec 2005.One figure, 4 page

On the computation of quantum characteristic exponents

A quantum characteristic exponent may be defined, with the same operational meaning as the classical Lyapunov exponent when the latter is expressed as a functional of densities. Existence conditions and supporting measure properties are discussed as well as the problems encountered in the numerical computation of the quantum exponents. Although an example of true quantum chaos may be exhibited, the taming effect of quantum mechanics on chaos is quite apparent in the computation of the quantum exponents. However, even when the exponents vanish, the functionals used for their definition may still provide a characterization of distinct complexity classes for quantum behavior.Comment: 11 pages Latex, 4 ps-figures. Phys. Lett. A, to appea