Physics – Mathematical Physics
Scientific paper
2005-03-25
J.Math.Phys. 47 (2006) 082305
Physics
Mathematical Physics
50 pages, mistake in prop. 3.2 and its proof corrected, comments added, subsections added
Scientific paper
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.
Thumstaedter Torsten
Tolksdorf Juergen
No associations
LandOfFree
Gauge Theories of Dirac Type does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Gauge Theories of Dirac Type, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Gauge Theories of Dirac Type will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-29653