Towards the chiral phase transition in the Roberge-Weiss plane

Cuteri F, Goswami J, Karsch F, Lahiri A, Neumann M, Philipsen O, Schmidt-Sonntag C, Sciarra A (2022)
arXiv:2205.12707.

Preprint | Englisch
 
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Abstract / Bemerkung
We discuss the interplay between chiral and center sector phase transitions that occur in QCD with an imaginary quark chemical potential μ=i(2n+1)πT/3\mu=i(2n+1) \pi T/3μ=i(2n+1)πT/3. Based on a finite size scaling analysis in (2+1)-flavor QCD using HISQ fermions with a physical strange quark mass and a range of light quark masses, we show that the endpoint of the line of first-order Roberge-Weiss (RW) transitions between center sectors is second order for light quark masses ml≥ms/320m_l\ge m_s/320ml​≥ms​/320, and that it belongs to the 333-d, Z(2)Z(2)Z(2) universality class. The operator for the chiral condensate behaves like an energy-like operator in an effective spin model for the RW phase transition. As a consequence, for any non-zero value of the quark mass, the chiral condensate will have an infinite slope at the RW phase transition temperature, TRWT_{RW}TRW​. Its fluctuation, the disconnected chiral susceptibility, behaves like the specific heat in Z(2)Z(2)Z(2) symmetric models and diverges in the infinite volume limit at the RW phase transition temperature TRWT_{RW}TRW​ for any non-zero value of the light quark masses. Our analysis suggests the critical temperatures for the RW phase transition and the chiral phase transition coincide in the RW plane. On lattices with temporal extent Nτ=4N_\tau=4Nτ​=4, we find in the chiral limit Tχ=TRW=195(1) T_{\chi}=T_{RW}=195(1)~Tχ​=TRW​=195(1) MeV.
Erscheinungsjahr
2022
Zeitschriftentitel
arXiv:2205.12707
Page URI
https://pub.uni-bielefeld.de/record/2963749

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Cuteri F, Goswami J, Karsch F, et al. Towards the chiral phase transition in the Roberge-Weiss plane. arXiv:2205.12707. 2022.
Cuteri, F., Goswami, J., Karsch, F., Lahiri, A., Neumann, M., Philipsen, O., Schmidt-Sonntag, C., et al. (2022). Towards the chiral phase transition in the Roberge-Weiss plane. arXiv:2205.12707
Cuteri, F., Goswami, J., Karsch, F., Lahiri, A., Neumann, M., Philipsen, O., Schmidt-Sonntag, C., and Sciarra, A. (2022). Towards the chiral phase transition in the Roberge-Weiss plane. arXiv:2205.12707.
Cuteri, F., et al., 2022. Towards the chiral phase transition in the Roberge-Weiss plane. arXiv:2205.12707.
F. Cuteri, et al., “Towards the chiral phase transition in the Roberge-Weiss plane”, arXiv:2205.12707, 2022.
Cuteri, F., Goswami, J., Karsch, F., Lahiri, A., Neumann, M., Philipsen, O., Schmidt-Sonntag, C., Sciarra, A.: Towards the chiral phase transition in the Roberge-Weiss plane. arXiv:2205.12707. (2022).
Cuteri, F., Goswami, J., Karsch, Frithjof, Lahiri, Anirban, Neumann, Marius, Philipsen, O., Schmidt-Sonntag, Christian, and Sciarra, A. “Towards the chiral phase transition in the Roberge-Weiss plane”. arXiv:2205.12707 (2022).

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arXiv: 2205.12707

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