Geometry and Physics of the Elementary Fermions. 1 (On pride of Jordan Wigner Pauli Weyl Dirac).
We develop a general formalism for defining distinct creation and annihilation operators for every elementary fermion (leptons and quarks). Spin, electric charge, vector-spin and chirality are intrinsic to them. Specific values of a discrete angle variable provide the electric charges and the vector...
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2021 |
| País: | España |
| Institución: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | inglés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/4587 |
| Acceso en línea: | https://hdl.handle.net/20.500.14352/4587 |
| Access Level: | acceso abierto |
| Palabra clave: | 537.8 53-71 539.12 Elementary fermions (leptons quarks). Jordan Wigner transformation. Geometry - Algebra. Fermiones elementales (leptones quarks). Transformacion de Jordan Wigner. Geometría - Álgebra. Electromagnetismo Física-Modelos matemáticos Física matemática Partículas Teoría de los quanta 2202 Electromagnetismo 2208 Nucleónica 2210.23 Teoría Cuántica |
| Sumario: | We develop a general formalism for defining distinct creation and annihilation operators for every elementary fermion (leptons and quarks). Spin, electric charge, vector-spin and chirality are intrinsic to them. Specific values of a discrete angle variable provide the electric charges and the vectors-spin. The above mentioned formalism consists in a geometrical generalization, using algebraic methods, of the algebraic formalism established by Jordan and Wigner in 1928. The method proposed introduces a second numbering and a product with an intermediary term. Arguments of symmetry are underneath this construction. In this way, the elementary fermions could be viewed as geometrical structures. These contents are a tentative first approach. |
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