Universal microscopic spectrum of the unquenched QCD Dirac operator at finite temperature

Akemann G, Würfel TR (2021)
arXiv:2110.03617.

Preprint | Englisch
 
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Autor*in
Akemann, GernotUniBi; Würfel, Tim R.
Abstract / Bemerkung
In the ε-regime of chiral perturbation theory the spectral correlations of the Euclidean QCD Dirac operator close to the origin can be computed using random matrix theory. To incorporate the effect of temperature, a random matrix ensemble has been proposed, where a constant, deterministic matrix is added to the Dirac operator. Its eigenvalues form a determinantal point process of polynomial type, depending on temperature. Due to recent progress in this specific class of polynomial ensembles, we can determine the limiting kernel of this point process. We prove the equivalence between this new determinantal representation of the microscopic eigenvalue correlation functions and existing results in terms of determinants of different sizes, for an arbitrary number of quark flavours, with and without temperature, and extend them to non-zero topology. These results all agree and are thus universal when measured in units of the temperature dependent chiral condensate, as long as we stay below the chiral phase transition.
Erscheinungsjahr
2021
Zeitschriftentitel
arXiv:2110.03617
Page URI
https://pub.uni-bielefeld.de/record/2958524

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Akemann G, Würfel TR. Universal microscopic spectrum of the unquenched QCD Dirac operator at finite temperature. arXiv:2110.03617. 2021.
Akemann, G., & Würfel, T. R. (2021). Universal microscopic spectrum of the unquenched QCD Dirac operator at finite temperature. arXiv:2110.03617
Akemann, G., and Würfel, T. R. (2021). Universal microscopic spectrum of the unquenched QCD Dirac operator at finite temperature. arXiv:2110.03617.
Akemann, G., & Würfel, T.R., 2021. Universal microscopic spectrum of the unquenched QCD Dirac operator at finite temperature. arXiv:2110.03617.
G. Akemann and T.R. Würfel, “Universal microscopic spectrum of the unquenched QCD Dirac operator at finite temperature”, arXiv:2110.03617, 2021.
Akemann, G., Würfel, T.R.: Universal microscopic spectrum of the unquenched QCD Dirac operator at finite temperature. arXiv:2110.03617. (2021).
Akemann, Gernot, and Würfel, Tim R. “Universal microscopic spectrum of the unquenched QCD Dirac operator at finite temperature”. arXiv:2110.03617 (2021).

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arXiv: 2110.03617

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