The curvature of the pseudo-critical line in the QCD phase diagram from mesonic lattice correlation functions
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arXiv
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| Format: | Preprint |
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2024
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| author | Smecca, Antonio Aarts, Gert Allton, Chris Bignell, Ryan Jäger, Benjamin Nam, Seung-il Kim, Seyong Skullerud, Jon-Ivar Wu, Liang-Kai |
| author_facet | Smecca, Antonio Aarts, Gert Allton, Chris Bignell, Ryan Jäger, Benjamin Nam, Seung-il Kim, Seyong Skullerud, Jon-Ivar Wu, Liang-Kai |
| contents | In the QCD phase diagram, the dependence of the pseudo-critical temperature, $T_{\rm{pc}}$, on the baryon chemical potential, $μ_B$, is of fundamental interest. The variation of $T_{\rm{pc}}$ with $μ_B$ is normally captured by $κ$, the coefficient of the leading (quadratic) term of the polynomial expansion of $T_{\rm{pc}}$ with $μ_B$. In this work, we present the first calculation of $κ$ using hadronic quantities. Simulating $N_f=2+1$ flavours of Wilson fermions on {\sc Fastsum} ensembles, we calculate the ${\cal O}(μ_B^2)$ correction to mesonic correlation functions. By demanding degeneracy in the vector and axial-vector channels we obtain $T_{\rm{pc}}(μ_B)$ and hence $κ$. While lacking a continuum extrapolation and being away from the physical point, our results are consistent with previous works using thermodynamic observables (renormalised chiral condensate, strange quark number susceptibility) from lattice QCD simulations with staggered fermions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_20922 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The curvature of the pseudo-critical line in the QCD phase diagram from mesonic lattice correlation functions Smecca, Antonio Aarts, Gert Allton, Chris Bignell, Ryan Jäger, Benjamin Nam, Seung-il Kim, Seyong Skullerud, Jon-Ivar Wu, Liang-Kai High Energy Physics - Lattice In the QCD phase diagram, the dependence of the pseudo-critical temperature, $T_{\rm{pc}}$, on the baryon chemical potential, $μ_B$, is of fundamental interest. The variation of $T_{\rm{pc}}$ with $μ_B$ is normally captured by $κ$, the coefficient of the leading (quadratic) term of the polynomial expansion of $T_{\rm{pc}}$ with $μ_B$. In this work, we present the first calculation of $κ$ using hadronic quantities. Simulating $N_f=2+1$ flavours of Wilson fermions on {\sc Fastsum} ensembles, we calculate the ${\cal O}(μ_B^2)$ correction to mesonic correlation functions. By demanding degeneracy in the vector and axial-vector channels we obtain $T_{\rm{pc}}(μ_B)$ and hence $κ$. While lacking a continuum extrapolation and being away from the physical point, our results are consistent with previous works using thermodynamic observables (renormalised chiral condensate, strange quark number susceptibility) from lattice QCD simulations with staggered fermions. |
| title | The curvature of the pseudo-critical line in the QCD phase diagram from mesonic lattice correlation functions |
| topic | High Energy Physics - Lattice |
| url | https://arxiv.org/abs/2412.20922 |