| Автор | Jean Thierry-Mieg |
| Дата выпуска | 2006-06-01 |
| dc.description | In Yang-Mills theory, the charges of the left and right massless Fermions are independent of each other. We propose a new paradigm where we remove this freedom and densify the algebraic structure of Yang-Mills theory by integrating the scalar Higgs field into a new gauge-chiral 1-form which connects Fermions of opposite chiralities. Using the Bianchi identity, we prove that the corresponding covariant differential is associative if and only if we gauge a Lie-Kac super-algebra. In this model, spontaneous symmetry breakdown naturally occurs along an odd generator of the super-algebra and induces a representation of the Connes-Lott non commutative differential geometry of the 2-point finite space. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Название | Chiral-Yang-Mills theory, non commutative differential geometry, and the need for a Lie super-algebra |
| Тип | paper |
| DOI | 10.1088/1126-6708/2006/06/038 |
| Electronic ISSN | 1029- 8479 |
| Print ISSN | 1126-6708 |
| Журнал | Journal of High Energy Physics |
| Том | 2006 |
| Первая страница | 38 |
| Последняя страница | 038 |
| Выпуск | 06 |
