# Baryon Number Dirac Spectrum in QCD

Ipsen J, Splittorff K (2012)
Phys. Rev. D 86(1): 014508.

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Journal Article | Original Article | Published | English

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The relation between the baryon number in QCD at nonzero chemical potentialand the spectral density of the baryon number Dirac operator, $\gamma_0(D+m)$,is examined. We show that extreme oscillations of the spectral density, causedby the QCD sign problem, are essential for the formation of the average baryonnumber when $\mu>m_\pi/2$. We compute the oscillating region of the spectraldensity using chiral perturbation theory. The extreme oscillations have amicroscopic period and are resolved using random matrix theory.
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Ipsen J, Splittorff K. Baryon Number Dirac Spectrum in QCD. Phys. Rev. D. 2012;86(1):014508.
Ipsen, J., & Splittorff, K. (2012). Baryon Number Dirac Spectrum in QCD. Phys. Rev. D, 86(1), 014508. doi:10.1103/PhysRevD.86.014508
Ipsen, J., and Splittorff, K. (2012). Baryon Number Dirac Spectrum in QCD. Phys. Rev. D 86, 014508.
Ipsen, J., & Splittorff, K., 2012. Baryon Number Dirac Spectrum in QCD. Phys. Rev. D, 86(1), p 014508.
J. Ipsen and K. Splittorff, “Baryon Number Dirac Spectrum in QCD”, Phys. Rev. D, vol. 86, 2012, pp. 014508.
Ipsen, J., Splittorff, K.: Baryon Number Dirac Spectrum in QCD. Phys. Rev. D. 86, 014508 (2012).
Ipsen, Jesper, and Splittorff, K. “Baryon Number Dirac Spectrum in QCD”. Phys. Rev. D 86.1 (2012): 014508.
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arXiv 1205.3093