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arXiv · 2104.02311

Instantons and Berry's connections on quantum graph

Tomonori Inoue·Makoto Sakamoto·Inori Ueba
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Abstract

In this paper, we study non-Abelian Berry's connections in the parameter space of boundary conditions for Dirac zero modes on quantum graphs. We apply the ADHM construction, which is the method for constructing Yang-Mills instanton solutions, to the Berry's connections. Then we find that the instanton configurations appear as the Berry's connections.

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Tomonori Inoue, Makoto Sakamoto, Inori Ueba. 2021-08-21. Instantons and Berry's connections on quantum graph. https://doi.org/10.1088/1751-8121%2Fac17a3

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