Gauge Theories of Dirac Type
Tolksdorf, Juergen ; Thumstaedter, Torsten
arXiv, 0503059 / Harvested from arXiv
A specific class of gauge theories is geometrically described in terms of fermions. In particular, it is shown how the geometrical frame presented naturally includes spontaneous symmetry breaking of Yang-Mills gauge theories without making use of a Higgs potential. In more physical terms, it is shown that the Yukawa coupling of fermions, together with gravity, necessarily yields a symmetry reduction provided the fermionic mass is considered as a globally well-defined concept. The structure of this symmetry breaking is shown to be compatible with the symmetry breaking that is induced by the Higgs potential of the minimal Standard Model. As a consequence, it is shown that the fermionic mass has a simple geometrical interpretation in terms of curvature and that the (semi-classical)"fermionic vacuum" determines the intrinsic geometry of space-time. We also discuss the issue of "fermion doubling" in some detail and introduce a specific projection onto the "physical sub-space" that is motivated from the Standard Model.
Publié le : 2005-03-25
Classification:  Mathematical Physics,  51P05, 53C07, 70S05, 70S15, 83C22
@article{0503059,
     author = {Tolksdorf, Juergen and Thumstaedter, Torsten},
     title = {Gauge Theories of Dirac Type},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0503059}
}
Tolksdorf, Juergen; Thumstaedter, Torsten. Gauge Theories of Dirac Type. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0503059/