Progress of the quantum field theory with non homogeneous strong fields and applications to the high energy physics, astrophysics and condensed matter physics

Abstract

The main motivation to the development of specific non-perturbative methods in this project concerns the applications to the modern Quantum Field Theory to physical systems. To fix a connection with Klein tunneling we intend to build a generalization of Furry representation of QED with strong constant and non-homogeneous external fields (with coordinate-dependent potential) with unstable vacuum. Such consideration allow us to justify some heuristic previous results obtained throught relativistic quantum mechanics and elaborated with standart non-perturbative formulas to calculate quantum process (scattering and particle creation) in such fields.We will use the developed theory to the analysis of particles creation effects from vacuum in quark-gluon plasma, in the neutron surface star and in the graphene conduction. Will be presented a new development of the Green function method and the one-loop effective description applicable to the quantum field theory with strong fields and with vacuum unstable, and its application to several problems (QED, QCD and others) in external electromagnetic, Yang-Mills fields at finite temperature.This project was ellaborated according to the projeto tematico, processo 2012/00333-7. The Prof. Gavrilov, in collaboration with prof. Gitman, will supervise the research of PhD and pos-doc students. (AU)