München 2009 – scientific programme

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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik

MP 3: Quantentheorie großer Systeme

MP 3.2: Talk

Tuesday, March 10, 2009, 14:20–14:40, M010

Structural response properties of interacting quantum fields — •Lev Plimak¹ and Stig Stenholm^1,2,3 — ¹Abteilung Quantenphysik, Uni Ulm, D-89069 Ulm, Germany. — ²Physics Department, Royal Institute of Technology, KTH, Stockholm, Sweden — ³Laboratory of Computational Engineering, HUT, Espoo, Finland

We analyse nonperturbatively signal transmission patterns in Green's functions of interacting quantum fields, bosonic as well as fermionic. Quantum field theory is re-formulated in terms of the nonlinear quantum-statistical response of the field. This formulation applies equally to interacting relativistic fields and nonrelativistic models. Of crucial importance is that all causality properties to be expected of a response formulation indeed hold. Being by construction equivalent to Schwinger's closed-time-loop formalism, this formulation is also shown to be related naturally to both Kubo's linear response and Glauber's macroscopic photodetection theories, being a unification of the two with generalisation to the nonlinear quantum-statistical response problem.