論文

査読有り
2019年8月9日

Janossy densities for chiral random matrix ensembles and their applications to two-color QCD

JHEP
  • Hiroyuki Fuji
  • ,
  • Issaku Kanamori
  • ,
  • Shinsuke M. Nishigaki

1908
053
記述言語
掲載種別
研究論文(学術雑誌)
DOI
10.1007/JHEP08(2019)053

We compute individual distributions of low-lying eigenvalues of massive<br />
chiral random matrix ensembles by the Nystr\&quot;om-type quadrature method for<br />
evaluating the Fredholm determinant and Pfaffian that represent the analytic<br />
continuation of the Janossy densities (conditional gap probabilities). A<br />
compact formula for individual eigenvalue distributions suited for precise<br />
numerical evaluation by the Nystr\&quot;om-type method is obtained in an explicit<br />
form, and the $k^{\rm{\small th } }$ smallest eigenvalue distributions are<br />
numerically evaluated for chiral unitary and symplectic ensembles in the<br />
microscopic limit. As an application of our result, the low-lying Dirac spectra<br />
of the SU(2) lattice gauge theory with $N_F=8$ staggered flavors are fitted to<br />
the numerical prediction from the chiral symplectic ensemble, leading to a<br />
precise determination of the chiral condensateof a two-color QCD-like system in<br />
the future.

リンク情報
DOI
https://doi.org/10.1007/JHEP08(2019)053
arXiv
http://arxiv.org/abs/arXiv:1903.07176
URL
http://arxiv.org/abs/1903.07176v3