Chiral gauge theories and non-abelian analogues of axions. (English) Zbl 1495.81097
Summary: The axion particle may or may not exist, but the axion field can be used, as shown here, in an explicitly local formulation of a chiral U(1) gauge theory with both classical and quantum gauge invariance. Nonabelian analogues of axion fields, which have recently been introduced, can be used, together with their special symmetries, in a similar construction of nonabelian chiral gauge theories. As in known cases, the gauge symmetry is broken and the gauge boson acquires a mass by swallowing the axions which are therefore not physical in this construction.
MSC:
| 81V25 | Other elementary particle theory in quantum theory |
| 70S15 | Yang-Mills and other gauge theories in mechanics of particles and systems |
| 22E70 | Applications of Lie groups to the sciences; explicit representations |
| 18G50 | Nonabelian homological algebra (category-theoretic aspects) |
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