Realization of the Noncommutative Seiberg-Witten Gauge Theory by Fields in Phase Space

摘要

Representations of the Poincar'{e} symmetry are studied by using a Hilbertspace with a phase space content. The states are described by wave functions (quasi amplitudes of probability) associated with Wigner functions (quasiprobability density). The gauge symmetry analysis provides a realization of theSeiberg-Witten gauge theory for noncommutative fields.