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Title: Asymptotic behavior of the Fourier coefficients and the analytic structure of the QCD equation of state

Journal Article · · Physical Review. D.

In this paper we study the universal properties of the baryon chemical potential Fourier coefficients in quantum chromodynamics. We show that by following a well-defined strategy, the Fourier coefficients can be used to locate Yang-Lee edge singularities associated with chiral phase transition (and by extension with the Roberge-Weiss) in the complex chemical potential plane. We comment on the viability of performing this analysis using lattice QCD data. Published by the American Physical Society 2024

Sponsoring Organization:
USDOE Office of Science (SC), Nuclear Physics (NP)
Grant/Contract Number:
SC0020081
OSTI ID:
2339916
Journal Information:
Physical Review. D., Journal Name: Physical Review. D. Journal Issue: 7 Vol. 109; ISSN PRVDAQ; ISSN 2470-0010
Publisher:
American Physical SocietyCopyright Statement
Country of Publication:
United States
Language:
English

References (33)

Universality driven analytic structure of the QCD crossover: Radius of convergence in the baryon chemical potential journal April 2021
QCD critical point and complex chemical potential singularities journal May 2006
New approach to canonical partition functions computation in N f = 2 lattice QCD at finite baryon density journal May 2017
Numerical study of the Roberge-Weiss transition journal January 2023
Computing Highly Oscillatory Integrals journal January 2017
Universal location of Yang-Lee edge singularity in classic O(N) universality classes journal June 2023
Complex Langevin simulations and the QCD phase diagram: recent developments journal October 2020
Universal Location of the Yang-Lee Edge Singularity in O ( N ) Theories journal November 2020
Fourier coefficients of the net baryon number density and their scaling properties near a phase transition journal June 2019
Fourier coefficients of the net-baryon number density conference January 2023
Gauge theories with imaginary chemical potential and the phases of QCD journal December 1986
Fourier coefficients of the net baryon number density and chiral criticality journal July 2019
Finite density QCD via an imaginary chemical potential journal January 2003
Critical exponents of the 3d Ising and related models from conformal bootstrap journal October 2014
Determination of Lee-Yang edge singularities in QCD by rational approximations
  • Zambello, Kevin; Clarke, D. A.; Dimopoulos, Petros
  • Proceedings of The 39th International Symposium on Lattice Field Theory — PoS(LATTICE2022) https://doi.org/10.22323/1.430.0164
conference March 2023
Vacuum fluctuations and the thermodynamics of chiral models journal August 2010
Statistical Theory of Equations of State and Phase Transitions. II. Lattice Gas and Ising Model journal August 1952
Five-loop renormalization of ϕ 3 theory with applications to the Lee-Yang edge singularity and percolation theory journal June 2021
Complex Langevin and other approaches to the sign problem in quantum many-body physics journal January 2021
Contribution to understanding the phase structure of strong interaction matter: Lee-Yang edge singularities from lattice QCD journal February 2022
Repulsive baryonic interactions and lattice QCD observables at imaginary chemical potential journal December 2017
Density of Zeros on the Lee-Yang Circle for Two Ising Ferromagnets journal November 1971
The QCD phase diagram for small densities from imaginary chemical potential journal October 2002
Yang-Lee Edge Singularity and ϕ 3 Field Theory journal June 1978
Critical point signatures in the cluster expansion in fugacities journal January 2020
Cluster expansion model for QCD baryon number fluctuations: No phase transition at μ B / T < π journal June 2018
Statistical Theory of Equations of State and Phase Transitions. I. Theory of Condensation journal August 1952
Analytical structure of the equation of state at finite density: Resummation versus expansion in a low energy model journal January 2022
Dataset for "Asymptotic behavior of the Fourier coefficients and the analytic structure of the QCD equation of state" dataset January 2024
Meson fluctuations and thermodynamics of the Polyakov-loop-extended quark-meson model journal July 2010
Universal location of Yang–Lee edge singularity for a one-component field theory in 1≤d≤4 journal September 2022
Complex paths around the sign problem journal March 2022
Distribution of zeros in Ising and gauge models journal September 1983

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