Instanton approach to large N Harish-Chandra-Itzykson-Zuber integrals.

@article{Bun2014InstantonAT,
  title={Instanton approach to large N Harish-Chandra-Itzykson-Zuber integrals.},
  author={J. Bun and J. Bouchaud and S. Majumdar and M. Potters},
  journal={Physical review letters},
  year={2014},
  volume={113 7},
  pages={
          070201
        }
}
  • J. Bun, J. Bouchaud, +1 author M. Potters
  • Published 2014
  • Physics, Medicine, Mathematics
  • Physical review letters
  • We reconsider the large N asymptotics of Harish-Chandra-Itzykson-Zuber integrals. We provide, using Dyson's Brownian motion and the method of instantons, an alternative, transparent derivation of the Matytsin formalism for the unitary case. Our method is easily generalized to the orthogonal and symplectic ensembles. We obtain an explicit solution of Matytsin's equations in the case of Wigner matrices, as well as a general expansion method in the dilute limit, when the spectrum of eigenvalues… CONTINUE READING
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