### Eigenvalue spectra of QCD and the fate of $U_A(1)$ breaking towards the chiral limit

Kaczmarek O, Mazur L, Sharma S (2021)
arXiv:2102.06136.

Preprint | Englisch

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Abstract / Bemerkung
The finite temperature phase diagram of QCD with two massless quark flavors is not yet understood because of the subtle effects of anomalous UA(1)U_A(1)UA​(1) symmetry. In this work we address this issue by studying the fate of the anomalous UA(1)U_A(1)UA​(1) symmetry in 2+12+12+1 flavor QCD just above the chiral crossover transition temperature TcT_cTc​, lowering the light quark mass towards the chiral limit along line of constant physical strange quark mass. We use the gauge configurations generated using the Highly Improved Staggered Quark (HISQ) discretization on lattice volumes 323×832^3\times8323×8 and 563×856^3\times 8563×8 to study the renormalized eigenvalue spectrum of QCD with valence overlap Dirac operator. We have implemented new numerical techniques that have allowed us to measure about 100100100-200200200 eigenvalues of the gauge ensembles with light quark masses ≳0.6\gtrsim 0.6≳0.6 MeV. From a detailed analysis of the dependence of the renormalized eigenvalue spectrum and UA(1)U_A(1)UA​(1) breaking observables on the light quark mass, our study suggests UA(1)U_A(1)UA​(1) is broken at T≳TcT\gtrsim T_cT≳Tc​ even when the chiral limit is approached.
Erscheinungsjahr
2021
Zeitschriftentitel
arXiv:2102.06136
Page URI
https://pub.uni-bielefeld.de/record/2954264

### Zitieren

Kaczmarek O, Mazur L, Sharma S. Eigenvalue spectra of QCD and the fate of $U_A(1)$ breaking towards the chiral limit. arXiv:2102.06136. 2021.
Kaczmarek, O., Mazur, L., & Sharma, S. (2021). Eigenvalue spectra of QCD and the fate of $U_A(1)$ breaking towards the chiral limit. arXiv:2102.06136
Kaczmarek, O., Mazur, L., and Sharma, S. (2021). Eigenvalue spectra of QCD and the fate of $U_A(1)$ breaking towards the chiral limit. arXiv:2102.06136.
Kaczmarek, O., Mazur, L., & Sharma, S., 2021. Eigenvalue spectra of QCD and the fate of $U_A(1)$ breaking towards the chiral limit. arXiv:2102.06136.
O. Kaczmarek, L. Mazur, and S. Sharma, “Eigenvalue spectra of QCD and the fate of $U_A(1)$ breaking towards the chiral limit”, arXiv:2102.06136, 2021.
Kaczmarek, O., Mazur, L., Sharma, S.: Eigenvalue spectra of QCD and the fate of $U_A(1)$ breaking towards the chiral limit. arXiv:2102.06136. (2021).
Kaczmarek, Olaf, Mazur, Lukas, and Sharma, Sayantan. “Eigenvalue spectra of QCD and the fate of $U_A(1)$ breaking towards the chiral limit”. arXiv:2102.06136 (2021).

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### Quellen

arXiv: 2102.06136

Inspire: 1846109