1. CHIRAL TENSOR FIELDS AND SPONTANEOUS BREAKING OF LORENTZ SYMMETRY
- Author
-
Christof Wetterich and Jan-Markus Schwindt
- Subjects
Quark ,Physics ,Nuclear and High Energy Physics ,Particle physics ,High Energy Physics::Lattice ,High Energy Physics::Phenomenology ,FOS: Physical sciences ,Astronomy and Astrophysics ,Expectation value ,Lorentz covariance ,Atomic and Molecular Physics, and Optics ,Tensor field ,Renormalization ,High Energy Physics - Phenomenology ,High Energy Physics - Phenomenology (hep-ph) ,Antisymmetric tensor ,Beta function (physics) ,Tensor ,Mathematical physics - Abstract
Antisymmetric tensor fields interacting with quarks and leptons have been proposed as a possible solution to the gauge hierarchy problem. We compute the one-loop beta function for a quartic self-interaction of the chiral antisymmetric tensor fields. Fluctuations of the top quark drive the corresponding running coupling to a negative value as the renormalization scale is lowered. This may indicate a non-vanishing expectation value of the tensor field, and thus a spontaneous breaking of Lorentz invariance. Settling this issue will need the inclusion of tensor loops., Comment: 15 pages, 4 figures
- Published
- 2008