Skip navigation
Skip navigation

Krein Spectral Triples and the Fermionic Action

Van Den Dungen, Koen

Description

Motivated by the space of spinors on a Lorentzian manifold, we define Krein spectral triples, which generalise spectral triples from Hilbert spaces to Krein spaces. This Krein space approach allows for an improved formulation of the fermionic action for almost-commutative manifolds. We show by explicit calculation that this action functional recovers the correct Lagrangians for the cases of electrodynamics, the electro-weak theory, and the Standard Model. The description of these examples does...[Show more]

CollectionsANU Research Publications
Date published: 2016
Type: Journal article
URI: http://hdl.handle.net/1885/102933
Source: Mathematical Physics Analysis and Geometry
DOI: 10.1007/s11040-016-9207-z

Download

File Description SizeFormat Image
01_Van+Den+Dungen_Krein_Spectral_Triples_and_the_2016.pdf417.77 kBAdobe PDF    Request a copy


Items in Open Research are protected by copyright, with all rights reserved, unless otherwise indicated.

Updated:  20 July 2017/ Responsible Officer:  University Librarian/ Page Contact:  Library Systems & Web Coordinator