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Berry phase in lattice QCD

We propose the lattice QCD calculation of the Berry phase which is defined by the ground state of a single fermion. We perform the ground-state projection of a single-fermion propagator, construct the Berry link variable on a momentum-space lattice, and calculate the Berry phase. As the first application, the first Chern number of the (2+1)-dimensional Wilson fermion is calculated by the Monte Carlo simulation.

preprint2016arXivOpen access
Arata Yamamoto
hep-phhep-lathep-th
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Arata Yamamoto

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