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Near the second order phase transition point, QCD with two flavours of massless quarks can be approximated by an O($4$) model, where a symmetry breaking external field $H$ can be added to play the role of quark mass. The Lee-Yang theorem…

High Energy Physics - Lattice · Physics 2021-12-01 Felipe Attanasio , Marc Bauer , Lukas Kades , Jan M. Pawlowski

We study the Yang-Lee theory in quantum phase transitions from the perspective of quantum entanglement in one-dimensional many-body systems. We primarily focus on the distribution of Yang-Lee zeros and its associated Yang-Lee edge…

Quantum Physics · Physics 2025-01-31 Hongchao Li

The Yang-Lee edge singularity is a prototypical example of the application of renormalization group ideas to critical behavior, and one to which Michael Fisher made several important contributions. Moreover it has connections to several…

Statistical Mechanics · Physics 2023-05-23 John Cardy

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…

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

This paper studies the Yang-Lee singularity of the 2-dimensional Ising model on the cylinder via transfer matrix and finite-size scaling techniques. These techniques enable a measurement of the 2-point and 3-point correlations and a…

Statistical Mechanics · Physics 2009-11-13 Tomasz Wydro , John F. McCabe

The Yang-Lee edge singularity was originally studied from the standpoint of mathematical foundations of phase transitions, and its physical demonstration has been of active interest both theoretically and experimentally. However, the…

Statistical Mechanics · Physics 2024-08-20 Huixia Gao , Kunkun Wang , Lei Xiao , Masaya Nakagawa , Norifumi Matsumoto , Dengke Qu , Haiqing Lin , Masahito Ueda , Peng Xue

This paper studies the Yang-Lee edge singularity of 2-dimensional (2D) Ising model based on a quantum spin chain and transfer matrix measurements on the cylinder. Based on finite-size scaling, the low-lying excitation spectrum is found at…

Statistical Mechanics · Physics 2015-05-14 Tomasz Wydro , John F. McCabe

Yang-Lee edge singularities are the branch point of the free energy on the complex plane of physical parameters and were shown to be the simplest universality class of phase transitions. However, the Yang-Lee edge singularities have not…

Statistical Mechanics · Physics 2017-08-10 Bo-Bo Wei

The phase diagram of the two- and three-state Potts model with infinite-range interactions, in the external field is analyzed by studying the partition function zeros in the complex field plane. The tricritical point of the three-state…

Statistical Mechanics · Physics 2013-03-01 Zvonko Glumac , Katarina Uzelac

Showing that the location of the zeros of the partition function can be used to study phase transitions, Yang and Lee initiated an ambitious and very fruitful approach. We give an overview of the results obtained using this approach. After…

Statistical Mechanics · Physics 2009-11-11 Ioana Bena , Michel Droz , Adam Lipowski

We take the Dyson-Schwinger Equation approach of QCD for the quark propagator at complex chemical potential to study the QCD phase transition. The phase transition line of the $(2+1)$-flavor QCD matter in the imaginary chemical potential…

High Energy Physics - Phenomenology · Physics 2024-08-20 Zi-Yan Wan , Yi Lu , Fei Gao , Yu-Xin Liu

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

We present a comprehensive theoretical framework for quantum criticality in the non-Hermitian detuned PXP model, and establish the complete phase diagram, which had remained elusive in previous studies. Starting from a numerically…

Quantum Physics · Physics 2025-10-16 Wen-Yi Zhang , Meng-Yun Mao , Qing-Min Hu , Xinzhi Zhao , Gaoyong Sun , Wen-Long You

We introduce a new way of reconstructing the equation of state of a thermodynamic system near a second order critical point from a finite set of Taylor coefficients computed away from the critical point. We focus on the Ising universality…

High Energy Physics - Theory · Physics 2021-11-03 Gokce Basar

Recent lattice QCD calculations show strong indications that the crossover of QCD at zero baryon chemical potential ($\mu_B$) is a remnant of the second order chiral phase transition. The non-universal parameters needed to map temperature…

High Energy Physics - Phenomenology · Physics 2021-02-03 Andrew Connelly , Gregory Johnson , Swagato Mukherjee , Vladimir Skokov

We determine the universal location of the Yang-Lee edge singularity in the entire relevant domain of spatial dimensions $1\le d \le 4$ for the Ising universality class. To that end, we present analytical results for $d=1,2,4$ and near four…

High Energy Physics - Phenomenology · Physics 2022-07-25 Fabian Rennecke , Vladimir V. Skokov

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

The Yang-Lee edge singularity is a quintessential nonunitary critical phenomenon accompanied by anomalous scaling laws. However, an imaginary magnetic field involved in this critical phenomenon makes its physical implementation difficult.…

Statistical Mechanics · Physics 2022-06-07 Norifumi Matsumoto , Masaya Nakagawa , Masahito Ueda

Recent lattice QCD calculations strongly indicate that the chiral crossover of QCD at zero baryon chemical potential \mu_B is a remnant of the second-order chiral phase transition. Universal properties of this second-order phase transition…

High Energy Physics - Phenomenology · Physics 2021-04-21 Swagato Mukherjee , Vladimir Skokov
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