FIELDS ON PARACOMPACT MANIFOLD AND ANOMALIES

Pierre Grangé (1) , Ernst Werner (2)

1 PMT - Laboratoire de Physique Mathématique et Théorique
2 Institut für Theoretische Physik [Regensburg]

In Continuum Light Cone Quantization (CLCQ) the treatment of scalar fields as operator valued distributions and properties of the accompanying test functions are recalled. Due to the paracompactness property of the Euclidean manifold these test functions appear as decomposition of unity. The approach is extended to QED Dirac fields in a gauge invariant way. With such test functions the usual triangle anomalies are calculated in a simple and transparent way.

Mots clés: Quantum Field Theory

Domaines: Physique mathématique [math-ph]

Pierre Grangé, Ernst Werner. FIELDS ON PARACOMPACT MANIFOLD AND ANOMALIES. 2003. ⟨hal-00000781⟩