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Title: Two lectures on Yang-Lee edge singularity and analytic structure of QCD equation of state

Journal Article · · SciPost Physics Lecture Notes
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These lecture notes, prepared for the 2024 XQCD PhD, provide an introduction to the analytic structure of an equation of state near a second-order phase transition and its most prominent landmark: the Yang-Lee edge singularity. In addition to discussing general properties, the notes review recent theoretical progress in locating the QCD critical point by tracking the trajectory of the Yang-Lee edge singularity.

Sponsoring Organization:
USDOE
Grant/Contract Number:
SC0020081
OSTI ID:
2529498
Journal Information:
SciPost Physics Lecture Notes, Journal Name: SciPost Physics Lecture Notes; ISSN 2590-1990
Publisher:
Stichting SciPostCopyright Statement
Country of Publication:
Netherlands
Language:
English

References (68)

Introduction to the Functional Renormalization Group book January 2010
Flow equations forN point functions and bound states journal September 1994
Functional renormalization group approach to the Yang-Lee edge singularity journal July 2016
2D Ising Field Theory in a magnetic field: the Yang-Lee singularity journal August 2022
Exact evolution equation for the effective potential journal February 1993
Derivative expansion of the exact renormalization group journal June 1994
Higher order contributions to critical exponents journal June 1973
Gauge theories with imaginary chemical potential and the phases of QCD journal December 1986
Non-perturbative renormalization flow in quantum field theory and statistical physics journal June 2002
The QCD phase diagram for small densities from imaginary chemical potential journal October 2002
Equation of state near the endpoint of the critical line journal November 1999
Universal location of Yang–Lee edge singularity for a one-component field theory in 1≤d≤4 journal September 2022
High-accuracy scaling exponents in the local potential approximation journal November 2007
Global Wilson–Fisher fixed points journal August 2017
Repulsive baryonic interactions and lattice QCD observables at imaginary chemical potential journal December 2017
The nonperturbative functional renormalization group and its applications journal May 2021
Finite-Temperature Field Theory: Principles and Applications book January 2023
Fermion interactions and universal behavior in strongly interacting theories journal January 2012
Derivative expansion and renormalisation group flows journal November 2001
On spinodal points and Lee-Yang edge singularities journal March 2018
Statistical Theory of Equations of State and Phase Transitions. I. Theory of Condensation journal August 1952
Statistical Theory of Equations of State and Phase Transitions. II. Lattice Gas and Ising Model journal August 1952
Nonperturbative renormalization-group approach to frustrated magnets journal April 2004
QCD critical point, Lee-Yang edge singularities, and Padé resummations journal July 2024
Meson fluctuations and thermodynamics of the Polyakov-loop-extended quark-meson model journal July 2010
Fourier coefficients of the net baryon number density and chiral criticality journal July 2019
Baryon number fluctuations in the QCD phase diagram from Dyson-Schwinger equations journal October 2019
QCD phase structure at finite temperature and density journal March 2020
Five-loop renormalization of ϕ 3 theory with applications to the Lee-Yang edge singularity and percolation theory journal June 2021
Contribution to understanding the phase structure of strong interaction matter: Lee-Yang edge singularities from lattice QCD journal February 2022
Numerical study of the Roberge-Weiss transition journal January 2023
Universal location of Yang-Lee edge singularity in classic O(N) universality classes journal June 2023
Asymptotic behavior of the Fourier coefficients and the analytic structure of the QCD equation of state journal April 2024
Imaginary chemical potential and finite fermion density on the lattice journal January 1999
QCD critical point and complex chemical potential singularities journal May 2006
Scaling functions for the O ( 4 ) model in d = 3 dimensions journal May 2008
Ising exponents from the functional renormalization group journal April 2011
Scaling functions of the free energy density and its derivatives for the 3 d O ( 4 ) model journal May 2012
Critical exponents of O ( N ) models in fractional dimensions journal May 2015
Roberge-Weiss endpoint at the physical point of N f = 2 + 1 QCD journal April 2016
Critical O ( N ) models above four dimensions: Small- N solutions and stability journal June 2016
Critical O ( N ) models in the complex field plane journal January 2017
New approach to canonical partition functions computation in N f = 2 lattice QCD at finite baryon density journal May 2017
Minimally subtracted six-loop renormalization of O ( n ) -symmetric ϕ 4 theory and critical exponents journal August 2017
Critical O ( 2 ) field theory near six dimensions beyond one loop journal June 2018
Precision calculation of critical exponents in the O(N) universality classes with the nonperturbative renormalization group journal April 2020
Precision calculation of universal amplitude ratios in O( N ) universality classes: Derivative expansion results at order O(∂4) journal December 2021
Solutions of renormalization-group flow equations with full momentum dependence journal September 2009
Nonperturbative renormalization group preserving full-momentum dependence: Implementation and quantitative evaluation journal February 2012
Fixed-point structure and effective fractional dimensionality for O( N ) models with long-range interactions journal November 2015
Order Parameters and Color-Flavor Center Symmetry in QCD journal November 2017
Why Might the Standard Large N Analysis Fail in the O ( N ) Model: The Role of Cusps in Fixed Point Potentials journal December 2018
Convergence of Nonperturbative Approximations to the Renormalization Group journal December 2019
Universal Location of the Yang-Lee Edge Singularity in O ( N ) Theories journal November 2020
Yang-Lee Edge Singularity and ϕ 3 Field Theory journal June 1978
Critical Equation of State from the Average Action journal July 1996
Deducing the Properties of Singularities of Functions from their Taylor Series Coefficients journal October 1980
Finite-size scaling behavior in the O(4) model journal July 2009
The functional renormalization group and O(4) scaling journal April 2010
The States of Matter — A Theoretical Perspective book October 2016
Renormalization Group flow Equations and the Phase Transition in O(N)-Models journal September 2001
The Exact Renormalization Group and Approximate Solutions journal June 1994
Yang-Lee Edge Behavior in One-Dimensional Systems journal May 2013
An Introduction To Quantum Field Theory book January 2018
Simulating QCD at finite density conference June 2010
Fourier coefficients of the net-baryon number density conference January 2023
Universal scaling and the asymptotic behaviour of Fourier coefficients of the baryon-number density in QCD
  • Schmidt, Christian; Clarke, David Anthony; Dimopoulos, Petros
  • Proceedings of The 40th International Symposium on Lattice Field Theory — PoS(LATTICE2023) https://doi.org/10.22323/1.453.0167
conference May 2024
Searching for the QCD critical endpoint using multi-point Padé approximations preprint January 2024

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