Using Nf = 2 + 1 QCD calculations at physical quark mass and purely imaginary baryon chemical potential, we locate Lee-Yang edge singularities in the complex chemical potential plane. These singularities have been obtained by the multi-point Padé approach applied to the net baryon number density. We recently showed that singularities extracted with this approach are consistent with universal scaling near the Roberge-Weiss transition. Here we study the universal scaling of these singularities in the vicinity of the QCD critical endpoint. Making use of an appropriate scaling ansatz, we extrapolate these singularities on Nτ = 6 and Nτ = 8 lattices towards the real axis to estimate the position of a possible QCD critical point. We find an approach toward the real axis with decreasing temperature. We compare this estimate with a HotQCD estimate obtained from poles of a [4,4]-Padé resummation of the eighth-order Taylor expansion of the QCD pressure.

Searching for the QCD critical point using Lee-Yang edge singularities / Clarke, D. A.; Dimopoulos, P.; Di Renzo, F.; Goswami, J.; Schmidt, C.; Singh, S.; Zambello, K.. - In: POS PROCEEDINGS OF SCIENCE. - ISSN 1824-8039. - 453:(2024). (Intervento presentato al convegno 40th International Symposium on Lattice Field Theory, LATTICE 2023 tenutosi a Batavia IL - USA nel 31 July 2023 through 4 August 2023) [10.22323/1.453.0168].

Searching for the QCD critical point using Lee-Yang edge singularities

Dimopoulos P.;Di Renzo F.;Zambello K.
2024-01-01

Abstract

Using Nf = 2 + 1 QCD calculations at physical quark mass and purely imaginary baryon chemical potential, we locate Lee-Yang edge singularities in the complex chemical potential plane. These singularities have been obtained by the multi-point Padé approach applied to the net baryon number density. We recently showed that singularities extracted with this approach are consistent with universal scaling near the Roberge-Weiss transition. Here we study the universal scaling of these singularities in the vicinity of the QCD critical endpoint. Making use of an appropriate scaling ansatz, we extrapolate these singularities on Nτ = 6 and Nτ = 8 lattices towards the real axis to estimate the position of a possible QCD critical point. We find an approach toward the real axis with decreasing temperature. We compare this estimate with a HotQCD estimate obtained from poles of a [4,4]-Padé resummation of the eighth-order Taylor expansion of the QCD pressure.
2024
Searching for the QCD critical point using Lee-Yang edge singularities / Clarke, D. A.; Dimopoulos, P.; Di Renzo, F.; Goswami, J.; Schmidt, C.; Singh, S.; Zambello, K.. - In: POS PROCEEDINGS OF SCIENCE. - ISSN 1824-8039. - 453:(2024). (Intervento presentato al convegno 40th International Symposium on Lattice Field Theory, LATTICE 2023 tenutosi a Batavia IL - USA nel 31 July 2023 through 4 August 2023) [10.22323/1.453.0168].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11381/3018973
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