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Level spacings for weakly asymmetric real random matrices and application to two-color QCD with chemical potential

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Abstract

We consider antisymmetric perturbations of real symmetric matrices in the context of random matrix theory and two-color quantum chromodynamics. We investigate the level spacing distributions of eigenvalues that remain real or become complex conjugate pairs under the perturbation. We work out analytical surmises from small matrices and show that they describe the level spacings of large random matrices. As expected from symmetry arguments, these level spacings also apply to the overlap Dirac operator for two-color QCD with chemical potential.

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Authors and Affiliations

  1. Institute for Theoretical Physics, University of Regensburg, 93040, Regensburg, Germany

    Jacques Bloch, Falk Bruckmann, Nils Meyer & Sebastian Schierenberg

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  1. Jacques Bloch
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  2. Falk Bruckmann
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  3. Nils Meyer
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  4. Sebastian Schierenberg
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Correspondence to Jacques Bloch.

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ArXiv ePrint: 1204.6259

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Bloch, J., Bruckmann, F., Meyer, N. et al. Level spacings for weakly asymmetric real random matrices and application to two-color QCD with chemical potential. J. High Energ. Phys. 2012, 66 (2012). https://doi.org/10.1007/JHEP08(2012)066

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