English

Instantons and Berry's connections on quantum graph

High Energy Physics - Theory 2021-09-01 v2 Quantum Physics

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.

Keywords

Cite

@article{arxiv.2104.02311,
  title  = {Instantons and Berry's connections on quantum graph},
  author = {Tomonori Inoue and Makoto Sakamoto and Inori Ueba},
  journal= {arXiv preprint arXiv:2104.02311},
  year   = {2021}
}

Comments

18 pages, 3figures

R2 v1 2026-06-24T00:52:36.501Z