Lee--Yang edge singularities in Nonlocal Nambu--Jona-Lasinio Model
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| Format: | Preprint |
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2025
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| _version_ | 1866909768211234816 |
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| author | Zhang, Zong-shuai Lu, Yi Liu, Yu-xin |
| author_facet | Zhang, Zong-shuai Lu, Yi Liu, Yu-xin |
| contents | We investigate the QCD phase diagram and the associated Lee--Yang edge singularities using the two-flavor nonlocal Nambu--Jona-Lasinio model extended to complex chemical potential. There exists a strong correlation between the chiral phase transition and the structure of the effective potential in the complex order parameter plane, serving as a criterion to differentiate crossover from first-order transitions. Typically, the Lee--Yang edge singularities can be understood as a generalization of the critical end-point (CEP) between crossover and first-order transitions, where the positive Nambu phase and the Wigner phase coalesce. We further analyze the scaling behavior near the CEP by extracting the critical exponent associated with the Lee--Yang singularities. Additionally, we confirm that the extrapolation of the Lee--Yang edge singularity trajectories provides an effective method of determining the CEP location, even at a small real chemical potential. This provides a viable method for exploring regions of the QCD phase diagram that remain inaccessible to lattice QCD. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_02975 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Lee--Yang edge singularities in Nonlocal Nambu--Jona-Lasinio Model Zhang, Zong-shuai Lu, Yi Liu, Yu-xin High Energy Physics - Phenomenology High Energy Physics - Theory Nuclear Theory We investigate the QCD phase diagram and the associated Lee--Yang edge singularities using the two-flavor nonlocal Nambu--Jona-Lasinio model extended to complex chemical potential. There exists a strong correlation between the chiral phase transition and the structure of the effective potential in the complex order parameter plane, serving as a criterion to differentiate crossover from first-order transitions. Typically, the Lee--Yang edge singularities can be understood as a generalization of the critical end-point (CEP) between crossover and first-order transitions, where the positive Nambu phase and the Wigner phase coalesce. We further analyze the scaling behavior near the CEP by extracting the critical exponent associated with the Lee--Yang singularities. Additionally, we confirm that the extrapolation of the Lee--Yang edge singularity trajectories provides an effective method of determining the CEP location, even at a small real chemical potential. This provides a viable method for exploring regions of the QCD phase diagram that remain inaccessible to lattice QCD. |
| title | Lee--Yang edge singularities in Nonlocal Nambu--Jona-Lasinio Model |
| topic | High Energy Physics - Phenomenology High Energy Physics - Theory Nuclear Theory |
| url | https://arxiv.org/abs/2509.02975 |