Berlin 2005 – scientific programme

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MP: Theoretische und Mathematische Grundlagen der Physik

MP 4: Quantum Field Theory and String Theory

MP 4.5: Fachvortrag

Tuesday, March 8, 2005, 15:20–15:40, TU MA043

Geometry of spin-field couplings on the worldline — •Jens Hämmerling and Holger Gies — Institut für theoretische Physik, Philosophenweg 16, 69120 Heidelberg

We derive a geometric representation of spin-field couplings within the worldline approach to perturbative QFT. This results in a spin factor that associates the information about spin with zigzag motion of the fluctuating field. We concentrate on the case of QED in external fields where we obtain a purely geometric representation of the Pauli term. As an illustrative example, we rederive the well-known Heisenberg-Euler action from the interplay between spin factor and holonomy.