Massive chiral random matrix ensembles at beta = 1 and beta = 4: QCD Dirac operator spectra

@article{Nagao2000MassiveCR,
  title={Massive chiral random matrix ensembles at beta = 1 and beta = 4: QCD Dirac operator spectra},
  author={Taro Nagao and Shinsuke M. Nishigaki},
  journal={Physical Review D},
  year={2000},
  volume={62},
  pages={065007}
}
The zero momentum sectors in effective theories of QCD coupled to pseudoreal (two colors) and real (adjoint) quarks have alternative descriptions in terms of chiral orthogonal and symplectic ensembles of random matrices. Using this correspondence, we compute correlation functions of Dirac operator eigenvalues within a sector with an arbitrary topological charge in a presence of finite quark masses of the order of the smallest Dirac eigenvalue. These novel correlation functions, expressed in… 

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References

SHOWING 1-3 OF 3 REFERENCES

Supersym m etry in D isorder and C haos,C ambri dge U ni v.Press (C am bri dge

  • 1997

Verbaarschot,N ucl

  • Phys.B
  • 1999

W ei denm ul l er

  • Phys.R ep
  • 1998