Regensburg 1998 – wissenschaftliches Programm
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MP: Theoretische und Mathematische Grundlagen der Physik
MP 2: Hauptvorträge II
MP 2.3: Hauptvortrag
Montag, 23. März 1998, 16:00–16:45, H46
Quantum Noether Method — •Tobias Hurth1 and Kostas Skenderis2 — 1Max-Planck-Institut für Physik, Werner-Heisenberg-Institut, Föhringer Ring 6, D-80805 Muenchen — 2Instituut voor Theoretische Fysica, KU Leuven, Celestijnenlaan 200D, B-3001 Leuven
We present a general method for constructing consistent quantum field theories with global symmetries. We start from a free non-interacting quantum field theory with given global symmetries and we determine all consistent and anomaly-free perturbative quantum deformations. The method is established within the causal Epstein-Glaser approach to perturbative quantum field theory, and it can be regarded as a direct implementation of Noether’s method at the quantum level. We illustrate the method by constructing SU(n) gauge theory (where the relevant global symmetry is BRST symmetry), and the N=1 supersymmetric model of Wess and Zumino. The whole construction is done before the so-called adiabatic limit is taken. Thus, all considerations regarding symmetry, unitarity and anomalies are well-defined even in massless theories.