QCD axion and topological susceptibility in chiral effective Lagrangian models at finite temperature

Abstract

In this work we compute the axion mass and, from this (exploiting a well-known relation), we also derive an expression for the QCD topological susceptibility in the finite-temperature case, both below and above the chiral phase transition at $T_c$, making use of a chiral effective Lagrangian model which includes the axion, the scalar and pseudoscalar mesons and implements the $U(1)$ axial anomaly of the fundamental theory. We also provide a numerical estimate of the topological susceptibility at $T=0$ (in the physical case of three light quark flavors) and discuss the question of the temperature and quark-mass dependence of the topological susceptibility in the high-temperature regime.

arXiv comment26 pages, revised version, published in Phys. Rev. D

References in corpus (25)

• Axion Cosmology
• The QCD axion, precisely
• The QCD phase transition with physical-mass, chiral quarks
• Theta dependence of SU(N) gauge theories in the presence of a topological term
• The topological susceptibility in finite temperature QCD and axion cosmology
• Chiral Symmetry Restoration at Nonzero Temperature in the SU(3) \times SU(3) Linear Sigma Model
• Axion phenomenology and $\theta$-dependence from $N_f=2+1$ lattice QCD
• Relevance of the axial anomaly at the finite-temperature chiral transition in QCD
• Topological Susceptibility and QCD Axion Mass: QED and NNLO corrections
• Chiral symmetry restoration in linear sigma models with different numbers of quark flavors
• On the nature of the finite-temperature transition in QCD
• Chiral observables and topology in hot QCD with two families of quarks
• Topology in full QCD at high temperature: a multicanonical approach
• Topological susceptibility in finite temperature (2+1)-flavor QCD using gradient flow
• Axions, Instantons, and the Lattice
• The Physics of Instantons in the pseudoscalar and vector meson mixing
• Thermal properties and evolution of the $U_A(1)$ factor for 2+1 flavors
• QCD $\theta$-vacuum energy and axion properties
• Quantum chromodynamics axion in a hot and magnetized medium
• Remarks on the U(1) axial symmetry and the chiral transition in QCD at finite temperature
• Topological susceptibility from $N_f=2+1+1$ lattice QCD at nonzero temperature
• Reviewing the problem of the U(1) axial symmetry and the chiral transition in QCD
• $X$ Meson aka ${\eta }^{\prime }$ and Kobayashi-Maskawa-'t Hooft Six-quark Vertex -- $U(1{)}_A$ Anomaly and Generalized Nambu-Jona-Lasinio Model --
• Study of the theta dependence of the vacuum energy density in chiral effective Lagrangian models at zero temperature
• Theta dependence of the vacuum energy density in chiral effective Lagrangian models at finite temperature, above $T_c$

Cited by in corpus (6)

• QCD Axion Kinetic Misalignment without Prejudice
• Axion-meson mixing in light of recent lattice $\eta$-${\eta }^{\prime }$ simulations and their two-photon couplings within $U(3)$ chiral theory
• Thermal behavior of effective U_A(1) anomaly couplings in reflection of higher topological sectors
• Topological Susceptibility in the Superconductive Phases of Quantum Chromodynamics: a Dyson-Schwinger Perspective
• Study of some local and global $U(1)$ axial condensates in QCD at finite temperature
• Backreaction of mesonic fluctuations on the axial anomaly at finite temperature