Some more remarks on the Witten-Veneziano formula for the ${\eta }^{\prime }$ mass

Abstract

We discuss some subtleties in connection with the new attempts to provide a firm basis for ths Witten-Veneziano formula.

9 pages

Cited by in corpus (47)

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• Topological susceptibility in the SU(3) gauge theory
• Low-Dimensional Long-Range Topological Charge Structure in the QCD Vacuum
• Topological effects in QCD and the problem of short-distance singularities
• Exploring the structure of the quenched QCD vacuum with overlap fermions
• The U_A(1) Problem on the Lattice with Ginsparg-Wilson Fermions
• Non-Gaussianities in the topological charge distribution of the SU(3) Yang--Mills theory
• Topological susceptibility in full QCD with Ginsparg-Wilson fermions
• An Introduction to Chiral Symmetry on the Lattice
• Theta dependence of the vacuum energy in the SU(3) gauge theory from the lattice
• The Negativity of the Overlap-Based Topological Charge Density Correlator in Pure-Glue QCD and the Non-Integrable Nature of its Contact Part
• U_A(1) anomaly and eta' mass from an infrared singular quark-gluon vertex
• The topological susceptibility in the large-N limit of SU(N) Yang-Mills theory
• Inherently Global Nature of Topological Charge Fluctuations in QCD
• Topological susceptibility with the asqtad action
• Witten-Veneziano Relation, Quenched QCD, and Overlap Fermions
• Topological critical slowing down: variations on a toy model
• The sphaleron rate from Euclidean lattice correlators: an exploration
• OPE of the pseudoscalar gluonium correlator in massless QCD to three-loop order
• The Reality of the Fundamental Topological Structure in the QCD Vacuum
• Impact of Dynamical Fermions on QCD Vacuum Structure
• The Effective Theory of Gravity and Dynamical Vacuum Energy
• Correlation and localization properties of topological charge density and the pseudoscalar glueball mass in SU(3) lattice Yang-Mills theory
• The Large $N_c$ limit of QCD on the lattice
• Exact Chiral Symmetry on the Lattice: QCD Applications
• QCD with two dynamical flavors of chirally improved quarks
• Topological susceptibility in lattice Yang-Mills theory with open boundary condition
• Accessing the topological susceptibility via the Gribov horizon
• Measuring the Topological Susceptibility in a Fixed Sector
• Anomalies, gauge field topology, and the lattice
• Small Instantons in $C{P}^1$ and $C{P}^2$ Sigma Models
• Probing the topological structure of the QCD vacuum with overlap fermions
• Open Boundary Condition, Wilson Flow and the Scalar Glueball Mass
• Quenched chiral logarithms in lattice QCD with exact chiral symmetry
• Quark masses, the Dashen phase, and gauge field topology
• The clash of positivities in topological density correlators
• Matter of resolution: from quasiclassics to fine tuning
• Topological charge density correlator in Lattice QCD with two flavours of unimproved Wilson fermions
• Lattice Gauge Fields Topology Uncovered by Quaternionic sigma-model Embedding
• Holographic QCD with Topologically Charged Domain-Wall/Membranes
• Gauge Singularities in the SU(2) Vacuum on the Lattice
• On the Continuum Limit of Topological Charge Density Distribution
• Vacuum structure and string tension in Yang-Mills dimeron ensembles
• Exploring the QCD vacuum - (some) recent developments in confinement and topology
• Investigating the topological structure of quenched lattice QCD with overlap fermions by using multi-probing approximation
• Probing the chiral phase transition of N_f=2 clover fermions with valence overlap fermions
• Role of the Wilson mass parameter in the overlap Dirac topological charge density