Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2005-09-28
Int.J.Mod.Phys.A23:1545-1579,2008
Physics
High Energy Physics
High Energy Physics - Theory
additional material, concentrating on interactions with chiral fermions, 38 pages, 1 figure
Scientific paper
10.1142/S0217751X08039335
Chiral antisymmetric tensor fields can have chiral couplings to quarks and leptons. Their kinetic terms do not mix different representations of the Lorentz symmetry and a local mass term is forbidden by symmetry. The chiral couplings to the fermions are asymptotically free, opening interesting perspectives for a possible solution to the gauge hierarchy problem. We argue that the interacting theory for such fields can be consistently quantized, in contrast to the free theory which is plagued by unstable solutions. We suggest that at the scale where the chiral couplings grow large the electroweak symmetry is spontaneously broken and a mass term for the chiral tensors is generated non-perturbatively. Massive chiral tensors correspond to massive spin one particles that do not have problems of stability. We also propose an equivalent formulation in terms of gauge fields.
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