Towards quantitative precision in the chiral crossover: masses and fluctuation scales

Abstract

We investigate the relation between the physical pion pole and screening masses and the mesonic fluctuation scale in low-energy QCD, which relates to the curvature of the mesonic effective potential. This relation is important for the correct relative weight of quantum, thermal and density fluctuations. Hence, it governs the location of phase boundaries as well as the phase structure of QCD. The identification of the correct physics scales is also primarily important for the correct adjustment of the parameters of effective models for low-energy QCD. It is shown that subject to an appropriate definition of the latter, all these scales agree at vanishing temperature, while they deviate from each other at finite temperature.

arXiv comment15 pages, 11 figures, 9 tables

References in corpus (37)

• Exact evolution equation for the effective potential
• Non-Perturbative Renormalization Flow in Quantum Field Theory and Statistical Physics
• Aspects of the Functional Renormalisation Group
• The QCD phase diagram for small densities from imaginary chemical potential
• On the infrared behavior of Landau gauge Yang-Mills theory
• Fermion Interactions and Universal Behavior in Strongly Interacting Theories
• Infrared behaviour and fixed points in Landau gauge QCD
• The Phase Diagram of the Quark-Meson Model
• Functional integrals for QCD at nonzero chemical potential and zero density
• Renormalization Flow of Bound States
• On the relation of quark confinement and chiral symmetry breaking
• Nonperturbative renormalization group approach to the Ising model: a derivative expansion at order ${\partial }^4$
• Effective Action for the Quark-Meson Model
• Renormalization Group Approach towards the QCD Phase Diagram
• Universality of spontaneous chiral symmetry breaking in gauge theories
• Quark-meson-diquark model for two-color QCD
• Ising exponents from the functional renormalisation group
• Improved Polyakov-loop potential for effective models from functional calculations
• Two flavor chiral phase transition from nonperturbative flow equations
• Spectral Functions for the Quark-Meson Model Phase Diagram from the Functional Renormalization Group
• Exact flow equation for composite operators
• Thermodynamics of QCD at vanishing density
• Fluctuations in the quark-meson model for QCD with isospin chemical potential
• Higher order quark-mesonic scattering processes and the phase structure of QCD
• Non-perturbative renormalization group preserving full-momentum dependence: implementation and quantitative evaluation
• Gluon spectral functions and transport coefficients in Yang--Mills theory
• Non perturbative renormalisation group and momentum dependence of $n$-point functions (I)
• Evolution Equations for the Quark-Meson Transition
• Non-perturbative thermal flows and resummations
• Real-Time Correlation Functions in the O(N) Model from the Functional Renormalization Group
• The QCD phase diagram: Results and challenges
• Analytic continuation of functional renormalization group equations
• Flow equations for spectral functions at finite external momenta
• Thermodynamics of QCD low-energy models and the derivative expansion of the effective action
• Effective Quark Interactions and QCD-Propagators
• Critical temperature and superfluid gap of the Unitary Fermi Gas from Functional Renormalization
• Functional renormalization group at finite density and Bose condensation

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• Non-perturbative quark, gluon and meson correlators of unquenched QCD
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• Real time correlation functions and the functional renormalisation group
• The Vacuum Structure of Vector Mesons in QCD
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• QCD at finite temperature and density within the fRG approach: An overview
• Fluctuation-induced modifications of the phase structure in (2+1)-flavor QCD
• In-Medium Spectral Functions of Vector- and Axial-Vector Mesons from the Functional Renormalization Group
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• Finite temperature spectral functions in the O(N)-model
• Probing Baryogenesis through the Higgs Self-Coupling
• Chiral Mirror-Baryon-Meson Model and Nuclear Matter beyond Mean-Field
• The Asymptotically Safe Standard Model: From quantum gravity to dynamical chiral symmetry breaking
• Functional renormalization group analysis of the soft mode at the QCD critical point
• Correlating the skewness and kurtosis of baryon number distributions
• Bound state properties from the Functional Renormalisation Group
• Shocks and quark-meson scatterings at large density
• Self-consistent Spectral Functions in the $O(N)$ Model from the FRG
• Pion spectral properties above the chiral crossover of QCD
• Emergent Hadrons and Diquarks
• Fermionic spectral functions with the Functional Renormalization Group
• Baryon number fluctuations in the 2+1 flavor low energy effective model
• Model prediction for temperature dependence of meson pole masses from lattice QCD results on meson screening masses
• Mesonic dynamics and QCD phase transition
• The QCD moat regime and its real-time properties
• The O(N)-model within the Phi-derivable expansion to order lambda^2: on the existence, UV and IR sensitivity of the solutions to self-consistent equations
• Critical behaviors of the $O(4)$ and $Z(2)$ symmetries in the QCD phase diagram
• Baryon number probability distribution at finite temperature
• One-loop constituent quark contributions to the vector and axial-vector meson curvature mass
• Four-fermion interactions and the chiral symmetry breaking in an external magnetic field
• Magnetic catalysis and diamagnetism from pion fluctuations
• Regulator scheme dependence of the chiral phase transition at high densities
• Functional renormalization group study of neutral and charged pion under magnetic fields in the quark-meson model
• Fluctuation-induced higher-derivative couplings and infrared dynamics of the Quark-Meson-Diquark Model
• Padé approximants and analytic continuation of Euclidean Phi-derivable approximations
• Thermal dynamics on the lattice with exponentially improved accuracy
• Real-time observables from Euclidean thermal correlation functions
• Chiral criticality and glue dynamics
• Physics-informed operator flows and observables
• Subtleties in the calculation of correlation functions for hot and dense systems
• Imprints of a critical point on photon emission