The general objective of the project is to undertake studies on dynamical phase transitions in macroscopic systems whose microscopic dynamics is described by a relativistic quantum field theory, with particular emphasis on the phenomena of phase ordering and phase separation. The problem consists in obtaining the time evolution of order parameters through equations of motion derived from quantum n-particle (nPI) irreducible effective actions of the underlying quantum field theory. These equations can be put into the form of Langevin equations with additive andmultiplicative noises, where the order parameters can be conserved or not in time. The project will concentrate in the derivation of the equations of motion from 2-particle irreducible (2PI) quantum effective actions. For the derivation of the effective action an approximation scheme based on the method of the thermodynamically equivalent Hamiltonian will be developed, a method that has been useful in the studies of condensation phenomena and phase transitions in thermal equilibrium.
News published in Agência FAPESP Newsletter about the scholarship: