QCD critical point, Lee-Yang edge singularities, and Padé resummations

Abstract

I analyze the trajectory of the Lee-Yang edge singularities of the QCD equation of state in the complex baryon chemical potential (<a:math xmlns:a="http://www.w3.org/1998/Math/MathML"><a:msub><a:mi>μ</a:mi><a:mi>B</a:mi></a:msub></a:math>) plane for different values of the temperature by using the recent lattice results for the Taylor expansion coefficients up to eighth order in <b:math xmlns:b="http://www.w3.org/1998/Math/MathML"><b:msub><b:mi>μ</b:mi><b:mi>B</b:mi></b:msub></b:math> and various resummation techniques that blend in Padé expansions and conformal maps. By extrapolating from this information, I estimate for the location of the QCD critical point: <c:math xmlns:c="http://www.w3.org/1998/Math/MathML"><c:mrow><c:msub><c:mi>T</c:mi><c:mi>c</c:mi></c:msub><c:mo>≈</c:mo><c:mn>100</c:mn></c:mrow></c:math> MeV, <d:math xmlns:d="http://www.w3.org/1998/Math/MathML"><d:mrow><d:msub><d:mi>μ</d:mi><d:mi>c</d:mi></d:msub><d:mo>≈</d:mo><d:mn>580</d:mn></d:mrow></d:math> MeV. I also estimate the crossover slope at the critical point to be <e:math xmlns:e="http://www.w3.org/1998/Math/MathML"><e:mrow><e:msub><e:mi>α</e:mi><e:mn>1</e:mn></e:msub><e:mo>≈</e:mo><e:msup><e:mn>9</e:mn><e:mo>∘</e:mo></e:msup></e:mrow></e:math> and further constrain the nonuniversal mapping parameters between the three-dimensional Ising model and QCD equations of state. Published by the American Physical Society 2024

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