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MP: Theoretische und Mathematische Grundlagen der Physik

MP 15: Quantenfeldtheorie 1

MP 15.5: Vortrag

Donnerstag, 23. März 2000, 15:15–15:30, W A317

Resummation of Feynman Diagrams and the Inversion of Matrices — •Detlef Lehmann — TU Berlin, FB Mathematik 7-2, Strasse des 17. Juni 136, 10623 Berlin

In many field theoretical models one has to resum two and four legged subdiagrams in order to determine their behaviour. In this talk we present a new formalism which does this in a nice way. It is based on the central limit theorem of probability and a novel formula for the inversion of matrices. We discuss applications to the Anderson model and to the nonrelativistic many-electron system.