Topology and axions in QCD

Abstract

QCD axions are at the crossroads of QCD topology and Dark Matter searches. We present here the current status of topological studies on the lattice, and their implication on axion physics. We outline the specific challenges posed by lattice topology, the different proposals for handling them, the observable effects of topology on the QCD spectrum and its interrelation with chiral and axial symmetries. We review the transition to the Quark Gluon Plasma, the fate of topology at the transition, and the approach to the high temperature limit. We discuss the extrapolations needed to reach the regime of cosmological relevance, and the resulting constraints on the QCD axion.

arXiv comment34 pages, 10 figures; references added, few typos fixed

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Cited by in corpus (26)

• More Axions from Strings
• Dark Matter from Axion Strings with Adaptive Mesh Refinement
• Phase Transitions in Particle Physics -- Results and Perspectives from Lattice Quantum Chromo-Dynamics
• Correlated Dirac Eigenvalues and Axial Anomaly in Chiral Symmetric QCD
• Dark Holograms and Gravitational Waves
• Study of the axial U(1) anomaly at high temperature with lattice chiral fermions
• Topological susceptibility of $N_f=2+1$ QCD from staggered fermions spectral projectors at high temperatures
• Chiral condensates and screening masses of neutral pseudoscalar mesons in thermomagnetic QCD medium
• Eigenvalues of the QCD Dirac matrix with improved staggered quarks in the continuum limit
• QCD Axion Kinetic Misalignment without Prejudice
• ALP-portal majorana dark matter
• Lattice determination of the topological susceptibility slope ${\chi }^{\prime }$ of $2d{\mathrm{CP}}^{N-1}$ models at large $N$
• Topological susceptibility in finite temperature QCD with physical $(u/d,s,c)$ domain-wall quarks
• Fractional topological charge in $SU(N)$ gauge theories without dynamical quarks
• Higher topological charge in the QCD vacuum and axion cosmology
• ${\pi }^0,\eta ,{\eta }^{\prime }$ two-photon transition form factors in the holographic soft-wall model and contributions to $(g-2{)}_{\mu }$
• Light quarks at finite temperature: chiral restoration and the fate of the $U(1{)}_A$ symmetry
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• Conserved laws and dynamical structure of axions coupled to photons
• Correlating confinement to topological fluctuations near the crossover transition in QCD
• Topological observables and $\theta$ dependence in high temperature QCD from lattice simulations
• The role of strangeness in chiral and $U(1{)}_A$ restoration
• Understanding the approach to thermalization from the eigenspectrum of non-Abelian gauge theories
• $\mathcal{H}$olographic $\mathcal{N}$aturalness and Information See-Saw Mechanism for Neutrinos
• Imprints of $U_A(1)$ chiral anomaly and disorder in the Dirac eigenspectrum of QCD at finite temperature
• Backreaction of mesonic fluctuations on the axial anomaly at finite temperature