Critical behavior and critical exponents of rotating QCD matter

Abstract

We investigate the thermodynamic properties and critical behavior of rotating strongly interacting matter within the two-flavor Nambu--Jona-Lasinio model. The phase structure and critical endpoint (CEP) are determined in the temperature-angular-velocity (T,ω) plane. Exploiting the thermodynamic conjugacy between the angular velocity ω and rotational polarization J, we characterize the CEP through complementary thermal, coexistence, susceptibility, and critical-isotherm responses. The corresponding effective critical exponents are extracted along distinct thermodynamic trajectories and are found to be consistent with α_ω≃0, β_ω≃1/2, γ_ω≃1, and δ_ω≃3. These exponents are numerically compatible with the standard scaling relations and form a mutually consistent Landau mean-field scaling pattern. Our results establish a coherent thermodynamic characterization of the rotation-induced CEP and demonstrate how its singular behavior is encoded in rotational response observables associated with the conjugate pair (ω,J).

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BibTeX RIS

BibTeX

@misc{xiao2026critical,
  title = {{Critical behavior and critical exponents of rotating QCD matter}},
  author = {Kai Xiao and Fei Sun and Shuang Li and Xun Chen},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2608.13469},
  eprint = {2608.13469},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2608.13469},
  note = {CC BY 4.0},
}

RIS

TY  - UNPB
TI  - Critical behavior and critical exponents of rotating QCD matter
AU  - Kai Xiao
AU  - Fei Sun
AU  - Shuang Li
AU  - Xun Chen
PY  - 2026
DA  - 2026/09/28
PB  - arXiv
DO  - 10.48550/arxiv.2608.13469
UR  - https://arxiv.org/abs/2608.13469
AB  - We investigate the thermodynamic properties and critical behavior of rotating strongly interacting matter within the two-flavor Nambu--Jona-Lasinio model. The phase structure and critical endpoint (CEP) are determined in the temperature-angular-velocity (T,ω) plane. Exploiting the thermodynamic conjugacy between the angular velocity ω and rotational polarization J, we characterize the CEP through complementary thermal, coexistence, susceptibility, and critical-isotherm responses. The corresponding effective critical exponents are extracted along distinct thermodynamic trajectories and are found to be consistent with α_ω≃0, β_ω≃1/2, γ_ω≃1, and δ_ω≃3. These exponents are numerically compatible with the standard scaling relations and form a mutually consistent Landau mean-field scaling pattern. Our results establish a coherent thermodynamic characterization of the rotation-induced CEP and demonstrate how its singular behavior is encoded in rotational response observables associated with the conjugate pair (ω,J).
ER  -

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