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arXiv · 2404.12298

Dirac Spectral Density in N$_f$=2+1 QCD at T=230 MeV

Andrei Alexandru·Claudio Bonanno·Massimo D'Elia·Ivan Horváth
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Abstract

We compute the renormalized Dirac spectral density in $N_f = 2+1$ QCD at physical quark masses, temperature $T = 230$ MeV and system size $L_s = 3.4$ fm. To that end, we perform a point-wise continuum limit of the staggered density in lattice QCD with staggered quarks. We find, for the first time, that a clear infrared structure (IR peak) emerges in the density of Dirac operator describing dynamical quarks. We also provide numerical evidence that a component of this peak, which becomes dominant in the thermodynamic limit, is due to a non-trivial accumulation of near-zero modes. Features of this structure are consistent with those previously attributed to the recently-proposed IR phase of thermal QCD. Our results (i) provide the only complete first-principles evidence that these IR features exist and are physical; (ii) improve the upper bound for IR-phase transition temperature $T_{\mathrm{IR}}$ so that the new window is $200 < T_{\mathrm{IR}} < 230\,$MeV; (iii) are consistent with non-restoration of anomalous U$_{\mathrm A}$(1) symmetry (chiral limit) below $T = 230$ MeV.

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Andrei Alexandru, Claudio Bonanno, Massimo D'Elia, Ivan Horváth. 2024-04-18. Dirac Spectral Density in N$_f$=2+1 QCD at T=230 MeV. https://arxiv.org/abs/2404.12298

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