Real Clifford algebras and their spinors for relativistic fermions

• Verfasst von: Flörchinger, Stefan [VerfasserIn]
• Titel: Real Clifford algebras and their spinors for relativistic fermions
• Verf.angabe: Stefan Floerchinger
• E-Jahr: 2021
• Jahr: 28 May 2021
• Umfang: 34 S.
• Fussnoten: Gesehen am 09.07.2021
• Titel Quelle: Enthalten in: Universe
• Ort Quelle: Basel : MDPI, 2015
• Jahr Quelle: 2021
• Band/Heft Quelle: 7(2021), 6, Artikel-ID 168, Seite 1-34
• ISSN Quelle: 2218-1997
• DOI: doi:10.3390/universe7060168
• Datenträger: Online-Ressource
• Sprache: eng
• Sach-SW: Clifford algebra
• Sach-SW: relativistic fermions
• Sach-SW: spinors
• K10plus-PPN: 1762590948

Abstract

Real Clifford algebras for arbitrary numbers of space and time dimensions as well as their representations in terms of spinors are reviewed and discussed. The Clifford algebras are classified in terms of isomorphic matrix algebras of real, complex or quaternionic type. Spinors are defined as elements of minimal or quasi-minimal left ideals within the Clifford algebra and as representations of the pin and spin groups. Two types of Dirac adjoint spinors are introduced carefully. The relationship between mathematical structures and applications to describe relativistic fermions is emphasized throughout.