Confinement of electrons in QED2+1 and quarks in QCD3+1 in Temporal Euclidena space

por Vladimir Sauli (Centro de Fisica Teorica de Particulas, Universidade Tecnica de Lisboa)

martes 18 nov. 2008 11:30 → 12:30 Europe/Madrid

Sala Seminarios (Dpto. de Física Teórica (UVEG))

I will present the elementary nonperturbative method to obtain Green's functions (GFs) for timelike momenta based on Schwinger-Dyson equation framework. We assume there are no singularities in the second and the fourth quadrants of the complex plane of space momentum components and perform a multidimensional analogue of Wick rotation. This procedure defines Greens functions in a timelike Euclidean space. It will be shown that in the case of ladder QED2+1 the procedure is fully equivalent to the full Minkowski space solution. As another examples I will present the application for solution of SDE for the quark propagator in QCD in a two slightly different approximation. The method and solution clarify the confinement of quarks by generation of complex mass within confinement mechanism based on the lack of real poles at timelike momenta.