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Dimension reduction and massless chiral fermions

1984; Elsevier BV; Volume: 135; Issue: 1-3 Linguagem: Inglês

10.1016/0370-2693(84)90463-5

1873-2445

George Chapline, Bernard Grossman,

Quantum Chromodynamics and Particle Interactions

Dimensional reduction of a Yang-Mills theory, when the space of extra dimensions is a compact homogeneous space, can lead to families of flavor chiral fermions. Using the Atiyah-Singer theorem we show that when representation mixing is neglected, some of these families can be massless even in the presence of a non-vanishing I = 12 Higgs field.