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Using $N_f=2+1$ 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…

High Energy Physics - Lattice · Physics 2024-05-21 D. A. Clarke , P. Dimopoulos , F. Di Renzo , J. Goswami , C. Schmidt , S. Singh , K. Zambello

A new approach is presented to explore the singularity structure of lattice QCD in the complex chemical potential plane. Our method can be seen as a combination of the Taylor expansion and analytic continuation approaches. Its novelty lies…

A new approach is presented to explore the singularity structure of lattice QCD at imaginary chemical potential. Our method can be seen as a combination of the Taylor expansion and analytic continuation approaches. Its novelty lies in using…

Using simulations at multiple imaginary chemical potentials for $(2+1)$-flavor QCD, we construct multi-point Pad\'e approximants. We determine the singularties of the Pad\'e approximants and demonstrate that they are consistent with the…

High Energy Physics - Lattice · Physics 2024-07-09 Jishnu Goswami , D. A. Clarke , P. Dimopoulos , F. Di Renzo , C. Schmidt , S. Singh , K. Zambello

We present results of the location of the closest singularities in the complex chemical potential plane using a novel method. These results are obtained with (2+1)-flavor of highly improved staggered quarks (HISQ) on lattices with temporal…

Using the multi-point Pad\'e 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…

High Energy Physics - Lattice · Physics 2024-05-17 David A. Clarke , Petros Dimopoulos , Francesco Di Renzo , Jishnu Goswami , Christian Schmidt , Simran Singh , Kevin Zambello

Near a critical endpoint the Lee-Yang edge singularity approaches the real axis in the complex chemical potential plane. In the vicinity of the critical point the functional form of this approach depends on the universality class. Assuming…

The analytic structure of the partition function in finite-volume systems is investigated at complex chemical potentials in a minimal mean-field effective model of QCD with finite-size effects incorporated. We discuss the temperature…

High Energy Physics - Phenomenology · Physics 2026-05-20 Tatsuya Wada , Győző Kovács , Masakiyo Kitazawa , Takahiro M. Doi

The Bielefeld Parma collaboration has recently put forward a method to investigate the QCD phase diagram based on the computation of Taylor series coefficients at both zero and imaginary values of the baryonic chemical potential. The method…

High Energy Physics - Lattice · Physics 2023-01-10 Francesco Di Renzo , Simran Singh

We report updated results on the determination of Lee-Yang edge (LYE) singularities in $N_f = 2+1$ QCD using highly improved staggered quarks (HISQ) with physical masses on $N_\tau = 4, 6, 8$ lattices. The singularity structure of QCD in…

We study the thermodynamic singularities of QCD in the complex chemical potential plane by a numerical simulation of lattice QCD, and discuss a method to understand the nature of the QCD phase transition at finite density from the…

High Energy Physics - Lattice · Physics 2010-02-19 Shinji Ejiri , Hiroshi Yoneyama

We present a calculation of the net baryon number density as a function of imaginary baryon number chemical potential, obtained with highly improved staggered quarks (HISQ) at temporal lattice extent of $N_\tau=4,6$. We construct various…

High Energy Physics - Lattice · Physics 2022-03-08 P. Dimopoulos , L. Dini , F. Di Renzo , J. Goswami , G. Nicotra , C. Schmidt , S. Singh , K. Zambello , F. Ziesché

Partition function zeros provide alternative approach to study phase structure of finite density QCD. The structure of the Lee-Yang edge singularities associated with the zeros in the complex chemical potential plane has a strong influence…

High Energy Physics - Lattice · Physics 2014-09-18 Shinji Ejiri , Yasuhiko Shinno , Hiroshi Yoneyama

Imaginary baryon number chemical potential simulations are a popular workaround for the (in)famous sign problem plaguing finite density QCD studies on the lattice. One is necessarily left with the problem of analytically continuing results…

High Energy Physics - Lattice · Physics 2025-02-06 Francesco Di Renzo , Marco Aliberti , Petros Dimopoulos

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…

High Energy Physics - Phenomenology · Physics 2025-09-04 Zong-shuai Zhang , Yi Lu , Yu-xin Liu

The thermodynamic singularities of QCD in the plane of complex baryo-chemical potential mu are studied. Predictions are made using scaling and universality arguments in the vicinity of the massless quark limit. The results are illustrated…

High Energy Physics - Lattice · Physics 2009-11-11 M. A. Stephanov

We analyze the trajectory of the Lee-Yang edge singularities of the QCD equation of state in the complex baryon chemical potential ($\mu_B$) plane for different values of the temperature by using the recent lattice results for the Taylor…

High Energy Physics - Theory · Physics 2024-07-08 Gokce Basar

We discuss the scaling of the Yang-Lee singularity (YLs) and show how the universal scaling can be used to locate phase transitions in QCD. We describe two complementary methods to extract the location of the Yang-Lee singularity from…

We propose a novel Bayesian method to analytically continue observables to real baryochemical potential $\mu_B$ in finite density QCD. Taylor coefficients at $\mu_B=0$ and data at imaginary chemical potential $\mu_B^I$ are treated on equal…

High Energy Physics - Lattice · Physics 2021-03-11 Attila Pásztor , Zsolt Szép , Gergely Markó

We present a numerical calculation of the Lee-Yang and Fisher zeros of the 2D Ising model using multi-point Pad\'{e} approximants. We perform simulations for the 2D Ising model with ferromagnetic couplings both in the absence and in the…

High Energy Physics - Lattice · Physics 2024-04-16 Simran Singh , Massimo Cipressi , Francesco Di Renzo
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