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

Abstract

Representations of the Poincaré symmetry are studied by using a Hilbert space with a phase space content. The states are described by wave functions ( quasi amplitudes of probability) associated with Wigner functions (quasi probability density). The gauge symmetry analysis provides a realization of the Seiberg-Witten gauge theory for noncommutative fields.

References in corpus (6)

• Statistics and UV-IR Mixing with Twisted Poincare Invariance
• Non-Commutative Complete Mellin Representation for Feynman Amplitudes
• Commutative limit of a renormalizable noncommutative model
• Noncommutative Geometry and Symplectic Field Theory
• Dispersion Relations in Noncommutative Theories
• Deformed Kac-Moody and Virasoro Algebras

Cited by in corpus (3)

• The Landau Problem and non-Classicality
• On Scalar Electromagnetism in Phase Space
• Non-abelian gauge symmetry for fields in phase space: a realization of the Seiberg-Witten non-abelian gauge theory