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Berry's connection for non-Abelian, chiral fermions
Phys. Rev. D 41, 561 – Published 15 January, 1990
DOI: https://doi.org/10.1103/PhysRevD.41.561
Abstract
We study the set of Hamiltonians corresponding to second-quantized chiral fermions interacting with non-Abelian background gauge fields in 1 + 1 dimensions. The spectral projections define a Hilbert bundle over the space of gauge-field configurations with a natural, flat, connection. The projection of this connection onto a one-dimensional, nondegenerate eigenstate defines the Berry connection. We compute this connection and calculate the first Chern number of this subbundle over noncontractible two-spheres in the group of gauge transformations.
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