Searching for the QCD critical endpoint using multi-point Padé approximations
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arXiv
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| Autori principali: | , , , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866909205513895936 |
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| author | Clarke, David A. Dimopoulos, Petros Di Renzo, Francesco Goswami, Jishnu Schmidt, Christian Singh, Simran Zambello, Kevin |
| author_facet | Clarke, David A. Dimopoulos, Petros Di Renzo, Francesco Goswami, Jishnu Schmidt, Christian Singh, Simran Zambello, Kevin |
| contents | Using the multi-point Padé approach, we locate Lee-Yang edge singularities of the QCD pressure in the complex baryon chemical potential plane. These singularities are extracted from singularities in the net baryon-number density calculated in $N_f=2+1$ lattice QCD at physical quark mass and purely imaginary chemical potential. Taking an appropriate scaling ansatz in the vicinity of the conjectured QCD critical endpoint, we extrapolate the singularities on $N_τ=6$ lattices to pure real baryon chemical potential to estimate the position of the critical endpoint (CEP). We find $T^{\rm CEP}=105^{+8}_{-18}$~ MeV and $μ_B^{\rm CEP} = 422^{+80}_{-35}$~ MeV, which compares well with recent estimates in the literature. For the slope of the transition line at the critical point we find $-0.16(24)$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_10196 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Searching for the QCD critical endpoint using multi-point Padé approximations Clarke, David A. Dimopoulos, Petros Di Renzo, Francesco Goswami, Jishnu Schmidt, Christian Singh, Simran Zambello, Kevin High Energy Physics - Lattice Using the multi-point Padé approach, we locate Lee-Yang edge singularities of the QCD pressure in the complex baryon chemical potential plane. These singularities are extracted from singularities in the net baryon-number density calculated in $N_f=2+1$ lattice QCD at physical quark mass and purely imaginary chemical potential. Taking an appropriate scaling ansatz in the vicinity of the conjectured QCD critical endpoint, we extrapolate the singularities on $N_τ=6$ lattices to pure real baryon chemical potential to estimate the position of the critical endpoint (CEP). We find $T^{\rm CEP}=105^{+8}_{-18}$~ MeV and $μ_B^{\rm CEP} = 422^{+80}_{-35}$~ MeV, which compares well with recent estimates in the literature. For the slope of the transition line at the critical point we find $-0.16(24)$. |
| title | Searching for the QCD critical endpoint using multi-point Padé approximations |
| topic | High Energy Physics - Lattice |
| url | https://arxiv.org/abs/2405.10196 |