Effective QCD Partition Function in Sectors with Non-Zero Topological Charge and Itzykson-Zuber Type Integral

@article{Akuzawa1998EffectiveQP,
  title={Effective QCD Partition Function in Sectors with Non-Zero Topological Charge and Itzykson-Zuber Type Integral},
  author={T. Akuzawa and M. Wadati},
  journal={Journal of the Physical Society of Japan},
  year={1998},
  volume={67},
  pages={2151-2154}
}
It was conjectured by Jackson et al. that the finite volume effective partition function of QCD with the topological charge M - N coincides with the Itzykson-Zuber type integral for M × N rectangular matrices. In the present article we give a proof of this conjecture, in which the original Itzykson-Zuber integral is utilized. 
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References

SHOWING 1-7 OF 7 REFERENCES
Spectrum of Dirac operator and role of winding number in QCD.
  • Leutwyler, Smilga
  • Physics, Medicine
  • Physical review. D, Particles and fields
  • 1992
  • 437
Differential Geometry, Lie Groups, and Symmetric Spaces
  • 5,430
  • PDF
Symmetric functions and Hall polynomials
  • 7,257
  • PDF
Random Matrices
  • 3,086
  • PDF
The planar approximation. II
  • 759