München 2009 – scientific programme

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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik

MP 4: Quantentheorie und Quantisierung 1

MP 4.3: Talk

Tuesday, March 10, 2009, 16:40–17:00, M010

Schwinger’s variational principle in a modified form — •Mario Kieburg — Universität Duisburg-Essen, Lotharstraße 1, 47048 Duisburg

Schwinger’s variational principle is a quantum field variational principle. Contrary to the canonical Dirac-quantization or Feynman’s path-integral quantization, the starting point of describing a quantum system does not lie in a classical field theory. One gets both, the field equations and the commutation relations, by varying the expectation value of the action which is an operator on a Hilbert space.

Almost all quantum theories depend on the choice of the space-time foliation which is deeply connected with the distinction of a time. The original Schwinger variational principle is also of this type. We will present a modification of Schwinger’s variational principle using the bundle formalism to make this principle covariant under the change of hypersurfaces in the space-time.