82 citations · 273 across the 18 of their papers we have counts for
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Complex spacing ratios of the non-Hermitian Dirac operator in universality classes AI and AII
Takuya Kanazawa, Tilo Wettig
We consider non-Hermitian Dirac operators in QCD-like theories coupled to a chiral U(1) potential or an imaginary chiral chemical potential. We show that in the continuum they fall…
Singular values of the Dirac operator at nonzero density
Takuya Kanazawa, Tilo Wettig, Naoki Yamamoto
At nonzero density the eigenvalues of the Dirac operator move into the complex plane, while its singular values remain real and nonnegative. In QCD-like theories, the singular-valu…
Exact results for two-color QCD at low and high density
Takuya Kanazawa, Tilo Wettig, Naoki Yamamoto
We discuss a random matrix theory that was originally constructed to describe two-color QCD at low density in the phase with a nonzero chiral condensate. With a particular choice o…
A theorem concerning twisted and untwisted partition functions in U(N) and SU(N) lattice gauge theories
Takuya Kanazawa
In order to get a clue to understanding the volume-dependence of vortex free energy (which is defined as the ratio of the twisted against the untwisted partition function), we inve…