München 2009 – wissenschaftliches Programm
Bereiche | Tage | Auswahl | Suche | Downloads | Hilfe
MP: Fachverband Theoretische und Mathematische Grundlagen der Physik
MP 6: Felder und Strings
MP 6.1: Vortrag
Mittwoch, 11. März 2009, 16:20–16:40, M010
Local retarded off-shell intertwiners of covariant phase spaces - towards a nonperturbative construction — Romeo Brunetti1, Klaus Fredenhagen2, and •Pedro Lauridsen Ribeiro2 — 1Dipartimento di Matematica, Facoltà di Scienze Matematiche, Fisiche e Naturali, Università degli Studi di Trento, Italien — 2II. Institut für theoretische Physik der Universität Hamburg
We describe the current status of a nonperturbative and mathematically rigorous construction of nonlinear operators acting on (a neighbourhood of the origin of) the space of smooth sections of a vector bundle over a general spacetime, which intertwine a pair of (left-hand sides of) strictly hyperbolic, second-order Euler-Lagrange field equations which differ by a compactly supported interaction term, and act as the identity in the remote past, thus playing the role of the retarded Møller operators from scattering theory. These operators were introduced by Dütsch and the second author in the context of perturbative algebraic quantum field theory. This construction is off-shell and makes use of a Nash-Moser iteration scheme.