2005/09/30 by C. Wetterich, C. WETTERICH
Physics and Astronomy · #Antisymmetric relation #Antisymmetric tensor #Chiral anomaly #Chiral symmetry breaking #Fermion #Gauge theory #Kinetic term #Lorentz transformation #Particle physics theoretical and experimental studies #Quantization (signal processing) #Quantum Chromodynamics and Particle Interactions #Quantum and Classical Electrodynamics #Quark #hep-th
paper · pdf · doi:10.1142/s0217751x08039335
published as Int.J.Mod.Phys.A23:1545-1579,2008 · additional material, concentrating on interactions with chiral fermions, 38 pages, 1 figure
arxiv created 2007/02/02 · openalex publication_date 2008/04/20 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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 can be 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 nonperturbatively. 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.