| Autor: |
Richard Kerner, Jerzy Lukierski |
| Jazyk: |
angličtina |
| Rok vydání: |
2021 |
| Předmět: |
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| Zdroj: |
Nuclear Physics B, Vol 972, Iss , Pp 115529- (2021) |
| Druh dokumentu: |
article |
| ISSN: |
0550-3213 |
| DOI: |
10.1016/j.nuclphysb.2021.115529 |
| Popis: |
In the current version of QCD the quarks are described by ordinary Dirac fields, organized in the following internal symmetry multiplets: the SU(3) colour, the SU(2) flavour, and broken SU(3) providing the family triplets. In this paper we argue that internal and external (i.e. space-time) symmetries are entangled at least in the colour sector in order to introduce the spinorial quark fields in a way providing all the internal quark's degrees of freedom which do appear in the Standard Model. Because the SU(3) colour algebra is endowed with natural Z3-graded discrete automorphisms, in order to introduce entanglement the Z3-graded version of Lorentz algebra with its vectorial and spinorial realizations are considered. The colour multiplets of quarks are described by 12-component colour Dirac equations, with a Z3-graded triplet of masses (one real and a Lee-Wick complex conjugate pair). We show that all quarks in the Standard Model can be described by the 72-component master quark sextet of 12-component coloured Dirac fields, which is required in order to implement the faithful spinorial representation of the Z3-graded Lorentz transformations. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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Full Text from ScienceDirect