Symmetry beyond the Standard Models of Cosmology, High Energy Physics and Quantum Field Theory II

A special issue of Symmetry (ISSN 2073-8994). This special issue belongs to the section "Physics".

Deadline for manuscript submissions: closed (31 May 2024) | Viewed by 3267

Special Issue Editor


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Guest Editor
1. Director of Virtual Institute of Astroparticle Physics, Paris, France
2. National Research Nuclear University MEPhI, President of Center for Cosmoparticle Physics Cosmion, Main Researcher of Research Institute of Physics of Southern Federal University, Rostov-on-Don, Russia
Interests: cosmology; particle physics; beyond the standard models; cosmoparticle physics; dark matter; primordial black holes; antimatter
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Special Issue Information

Dear Colleagues,

The purpose of this Special Issue is to present topics of current interest and provide a stimulating environment for scientific discussion on new developments in theoretical and experimental high energy physics and physical programs for future colliders, as well as to answer questions on the standard model of electroweak and color interactions and the cosmological standard model. This Special Issue is the second edition of “Symmetry beyond the Standard Models of Cosmology, High Energy Physics and Quantum Field Theory” (https://www.mdpi.com/journal/symmetry/special_issues/symmetry_beyond_standard_models_cosmology).

Prof. Dr. Maxim Yu. Khlopov
Guest Editor

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Published Papers (2 papers)

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Editorial

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4 pages, 164 KiB  
Editorial
Special Issue: Symmetry beyond the Standard Models of Cosmology, High Energy Physics and Quantum Field Theory
by Vitaly Beylin and Maxim Khlopov
Symmetry 2024, 16(1), 66; https://doi.org/10.3390/sym16010066 - 4 Jan 2024
Viewed by 1150
Abstract
Research into the nature of matter is gradually advancing to a scale that is still energetically inaccessible at ground-based colliders [...] Full article

Research

Jump to: Editorial

8 pages, 280 KiB  
Article
The Three Faces of U(3)
by John LaChapelle
Symmetry 2024, 16(4), 504; https://doi.org/10.3390/sym16040504 - 22 Apr 2024
Viewed by 1367
Abstract
U(n) is a semi-direct product group characterized by nontrivial homomorphisms mapping U(1) into the automorphism group of SU(n). For U(3), there are three nontrivial homomorphisms that induce three [...] Read more.
U(n) is a semi-direct product group characterized by nontrivial homomorphisms mapping U(1) into the automorphism group of SU(n). For U(3), there are three nontrivial homomorphisms that induce three separate defining representations. In a toy model of U(3) Yang–Mills (endowed with a suitable inner product) coupled to massive fermions, this renders three distinct covariant derivatives acting on a single matter field. Employing a mod3 permutation induced by a large gauge transformation acting on the defining representation vector space, the three covariant derivatives and one matter field can alternatively be expressed as a single covariant derivative acting on three distinct species of matter fields possessing the same U(3) quantum numbers. One can interpret this as three species of matter fields in the defining representation. Full article
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