Deformation of Hermitian vector bundles and non-commutative field theory. (English) Zbl 1012.81029

Waldmann, Stefan

Maeda, Yoshiaki (ed.) et al., Noncommutative geometry and string theory. Proceedings of the international workshop, Keio Univ., Yokohama, Japan, March 16-22, 2001. Kyoto: Progress of Theoretical Physics, Prog. Theor. Phys., Suppl. 144, 167-175 (2001).

Summary: The author relates some recent results on the \(*\)-representation theory of star product algebras to the deformation quantization of Hermitian vector bundles (joint work with H. Bursztyn). Moreover, the physical interpretation of deformed vector bundles as the basic objects in noncommutative field theories is given.
For the entire collection see [Zbl 0989.00062].

MSC:

81S10	Geometry and quantization, symplectic methods
53D55	Deformation quantization, star products
81T75	Noncommutative geometry methods in quantum field theory

Keywords:

\(*\)-representation theory; star product algebras; deformation quantization; Hermitian vector bundles