Deformation quantization of covariant fields

Giuseppe Dito (1)

1 IMB - Institut de Mathématiques de Bourgogne [Dijon]

After sketching recent advances and subtleties in classical relativistically covariant field theories, we give in this short Note some indications as to how the deformation quantization approach can be used to solve or at least give a better understanding of their quantization.

Mots clés: deformation quantization; nonlinear representations; quantum field theory

Domaines: Algèbres quantiques [math.QA]; Physique des Hautes Energies - Théorie [hep-th]

Giuseppe Dito. Deformation quantization of covariant fields. 2002, pp.55-66. ⟨hal-00012430⟩