| Автор | Yoshitaka Okumura |
| Дата выпуска | 2000-11-01 |
| dc.description | A gravity-incorporated standard model is constructed in a generalized differential geometry (GDG) on R<sub>4</sub>×X<sub>2</sub>. Here, R<sub>4</sub> and X<sub>2</sub> are the four-dimensional Riemann space and two-point discrete space, respectively. A GDG on R<sub>4</sub>×X<sub>2</sub> is constructed by adding the basis χ<sub>n</sub> (n = 1,2) of the differential form on X<sub>2</sub> to the ordinary basis dx<sup>µ</sup> on R<sub>4</sub>, and so it is a direct generalization of the differential geometry on the continuous manifold. A GDG is a version of non-commutative geometry (NCG). We incorporate gravity by simply replacing the derivative <sub>µ</sub> by the covariant derivative <sub>µ</sub> + ω<sub>µ</sub> for a general coordinate transformation in the definition of the generalized gauge field on R<sub>4</sub>×X<sub>2</sub>, keeping other parts unchanged. The Yang-Mills-Higgs Lagrangian for the standard model is obtained by taking the inner product of two generalized field strengths, whereas the Einstein-Hilbert gravitational Lagrangian is created by the inner product of a generalized field strength and a tensor {E<sup>a</sup>}<sub>b</sub> on local Lorentz space. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Название | Gravity-incorporated standard model in a generalized differential geometry |
| Тип | paper |
| DOI | 10.1088/0954-3899/26/11/306 |
| Electronic ISSN | 1361-6471 |
| Print ISSN | 0954-3899 |
| Журнал | Journal of Physics G: Nuclear and Particle Physics |
| Том | 26 |
| Первая страница | 1709 |
| Последняя страница | 1722 |
| Аффилиация | Yoshitaka Okumura; Department of Physics, Boston University, Boston, MA 02215, USA |
| Выпуск | 11 |
