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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.