Pregeometry and spontaneous time-space asymmetry

• Verfasst von: Wetterich, Christof [VerfasserIn]
• Titel: Pregeometry and spontaneous time-space asymmetry
• Verf.angabe: C. Wetterich
• Ausgabe: Version v3
• E-Jahr: 2022
• Jahr: 25 Mar 2022
• Umfang: 28 S.
• Fussnoten: Version 1 vom 27. Januar 2021, Version 2 vom 11. Oktober 2021, Version 3 vom 25. März 2022 ; Gesehen am 26.10.2022
• Titel Quelle: Enthalten in: De.arxiv.org
• Ort Quelle: [S.l.] : Arxiv.org, 1991
• Jahr Quelle: 2022
• Band/Heft Quelle: (2022), Artikel-ID 2101.11519, Seite 1-28
• DOI: doi:10.48550/arXiv.2101.11519
• Datenträger: Online-Ressource
• Sprache: eng
• Sach-SW: General Relativity and Quantum Cosmology
• Sach-SW: High Energy Physics - Theory
• K10plus-PPN: 1804101184

Abstract

In pregeometry a metric arises as a composite object at large distances. We investigate if its signature, which distinguishes between time and space, could be a result of the dynamics rather than being built in already in the formulation of a model. For short distances we formulate our model as a Yang-Mills theory with fermions and vector fields. For the local gauge symmetry we take the non-compact group SO(4,\,$\mathbb{C}$). The particular representation of the vector field permits us to implement diffeomorphism invariant kinetic terms. Geometry and general relativity emerge at large distances due to a spontaneous breaking of the gauge symmetry which induces masses for the gauge bosons. The difference between time and space arises directly from this spontaneous symmetry breaking. For a euclidean metric all fields have a standard propagator at high momenta. Analytic continuation to a Minkowski-metric is achieved by a change of field values. We conjecture that this type of model could be consistent with unitarity and well behaved in the short distance limit.