Next I will explore links to non-equilibrium phase transitions in other areas of science by determining the critical exponents and the universality class
of the onset of shear flow turbulence.
Building on the experimental evidence of strong correlations and scaling laws, I will develop a novel renormalization group (rg) approach to strongly correlated biological systems, With the purpose of classifying into new universality classes
the collective phenomena of life.
Key to this strategy is a new and powerful way of analyzing lattice regularizations of the QFTs by focussing on their algebraic properties directly on the lattice, with a mix of advanced representation theory and numerical techniques.The results - in particular, concerning conformal invariance and renormalization group flows in the non-unitary case - will then be used to solve the QFT models for the plateau transition in the IQHE and in other universality classes
of 2D Anderson insulators.