Topological susceptibility in the SU(3) gauge theory
arXiv:hep-th/0407052 · doi:10.1103/PhysRevLett.94.032003
Abstract
We compute the topological susceptibility for the SU(3) Yang--Mills theory by employing the expression of the topological charge density operator suggested by Neuberger's fermions. In the continuum limit we find r_0^4 chi = 0.059(3), which corresponds to chi=(191 +/- 5 MeV)^4 if F_K is used to set the scale. Our result supports the Witten--Veneziano explanation for the large mass of the eta'.
Final version to appear on Phys. Rev. Lett
References in corpus (31)
- Exactly massless quarks on the lattice
- A Method for Simulating Chiral Fermions on the Lattice
- Exact chiral symmetry on the lattice and the Ginsparg-Wilson relation
- More about exactly massless quarks on the lattice
- Axial symmetries in lattice QCD with Kaplan fermions
- The index theorem in QCD with a finite cut-off
- Chiral Determinant as an Overlap of Two Vacua
- Infinitely many regulator fields for chiral fermions
- Vector like gauge theories with almost massless fermions on the lattice
- Precision computation of a low-energy reference scale in quenched lattice QCD
- SU(N) gauge theories in four dimensions: exploring the approach to N = infinity
- Theta dependence of SU(N) gauge theories
- Topological susceptibility at zero and finite in SU(3) Yang-Mills theory
- Numerical techniques for lattice QCD in the --regime
- Precision computation of the strange quark's mass in quenched QCD
- A study of chiral symmetry in quenched QCD using the Overlap-Dirac operator
- Lattice QCD in the epsilon-regime and random matrix theory
- Testing the fixed-point QCD action and the construction of chiral currents
- Topological effects in QCD and the problem of short-distance singularities
- The U_A(1) Problem on the Lattice with Ginsparg-Wilson Fermions
- Instanton Content of the SU(3) Vacuum
- Light quark masses, chiral condensate and quark-gluon condensate in quenched lattice QCD with exact chiral symmetry
- Topological susceptibility in full QCD with Ginsparg-Wilson fermions
- Some more remarks on the Witten-Veneziano formula for the mass
- The topological susceptibility of SU(3) gauge theory near T_c
- Witten-Veneziano Relation, Quenched QCD, and Overlap Fermions
- Low-energy couplings of QCD from topological zero-mode wave functions
- Topological susceptibility from the overlap
- Topological Susceptibility in Lattice QCD with Two Flavors of Dynamical Quarks
- Topology and chiral symmetry breaking in SU(N) gauge theories
- Exact Chiral Symmetry on the Lattice: QCD Applications
Cited by in corpus (111)
- Properties and uses of the Wilson flow in lattice QCD
- Glueball Spectrum and Matrix Elements on Anisotropic Lattices
- Exploring improved holographic theories for QCD: Part II
- Theta dependence of SU(N) gauge theories in the presence of a topological term
- The topological susceptibility in finite temperature QCD and axion cosmology
- Improved Holographic Yang-Mills at Finite Temperature: Comparison with Data
- Improved Holographic QCD
- Axion phenomenology and -dependence from lattice QCD
- The High Quality QCD Axion and the LHC
- Theta dependence, sign problems and topological interference
- The and mesons from Lattice QCD
- Precision study of the SU(3) topological susceptibility in the continuum
- Universality of the topological susceptibility in the SU(3) gauge theory
- Exploring the structure of the quenched QCD vacuum with overlap fermions
- Pseudoscalar glueball mass from -- mixing
- Non-Gaussianities in the topological charge distribution of the SU(3) Yang--Mills theory
- Effects of eight-quark interactions on the hadronic vacuum and mass spectra of light mesons
- Topology in full QCD at high temperature: a multicanonical approach
- Topological susceptibility and the sampling of field space in lattice QCD simulations
- Topological susceptibility in two-flavor lattice QCD with exact chiral symmetry
- 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
- dependence in Yang-Mills theory from analytic continuation
- Theoretical foundation for the Index Theorem on the lattice with staggered fermions
- 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
- An SU(2) KvBLL caloron gas model and confinement
- Theta-dependence of the spectrum of SU(N) gauge theories
- Topological Lattice Actions
- The Chern-Simons Diffusion Rate in Improved Holographic QCD
- Spontaneous breaking in QCD and the axion potential: an effective Lagrangian approach
- Behaviour of the topological susceptibility in two colour QCD across the finite density transition
- Topology and axions in QCD
- The nucleon electric dipole moment with the gradient flow: the -term contribution
- Topological susceptibility with the asqtad action
- Non-perturbative Test of the Witten-Veneziano Formula from Lattice QCD
- Metadynamics Surfing on Topology Barriers: the Case
- Large- Yang-Mills theories with milder topological freezing
- Overlap Hypercube Fermions in QCD Simulations Near the Chiral Limit
- Color dependence of the topological susceptibility in Yang-Mills theories
- Center vortex model for the infrared sector of SU(3) Yang-Mills theory: Topological susceptibility
- Pseudoscalar Meson Decay Constants and Couplings, the Witten-Veneziano Formula beyond large N_c, and the Topological Susceptibility
- OPE of the pseudoscalar gluonium correlator in massless QCD to three-loop order
- and mesons in the Dyson-Schwinger approach at finite temperature
- Methods for Pseudoscalar Flavour-Singlet Mesons with Staggered Fermions
- Planar Quantum Mechanics: an Intriguing Supersymmetric Example
- Spontaneous chiral symmetry breaking in QCD:a finite-size scaling study on the lattice
- Correlation and localization properties of topological charge density and the pseudoscalar glueball mass in SU(3) lattice Yang-Mills theory
- The Large limit of QCD on the lattice
- Topological susceptibility in lattice Yang-Mills theory with open boundary condition
- QCD with two dynamical flavors of chirally improved quarks
- eta and eta' mesons and dimension 2 gluon condensate <A^2>
- η' Multiplicity and the Witten-Veneziano relation at finite temperature
- Instantons and Monopoles
- and mesons at high T when the U_A(1) and chiral symmetry breaking are tied
- Yang-Mills theories on the lattice: scale setting and topology
- Exploring Topology Conserving Gauge Actions for Lattice QCD
- Determining the chiral condensate from the distribution of the winding number beyond topological susceptibility
- Revisiting the pseudoscalar meson and glueball mixing and key issues in the search for pseudscalar glueball state
- Topology via Spectral Projectors with Staggered Fermions
- Measuring the Topological Susceptibility in a Fixed Sector
- Localized eigenmodes of the overlap operator and their impact on the eigenvalue distribution
- Frontiers of finite temperature lattice QCD
- Different faces of confinement
- Nonperturbative renormalization of composite operators with overlap fermions
- Lattice determination of the topological susceptibility slope of models at large
- Studying explicit symmetry breaking in hot and magnetised two flavour non-local NJL model constrained using lattice results
- Nonperturbative renormalisation of composite operators with overlap quarks
- Finite-size scaling for the left-current correlator with non-degenerate quark masses
- Open Boundary Condition, Wilson Flow and the Scalar Glueball Mass
- Study of the theta dependence of the vacuum energy density in chiral effective Lagrangian models at zero temperature
- The clash of positivities in topological density correlators
- Probing the chiral weak Hamiltonian at finite volumes
- A symmetry restoration scenario supported by the generalized Witten-Veneziano relation and its analytic solution
- Topological susceptibility in SU(2) Yang-Mills theory in the Hamiltonian approach in Coulomb gauge
- Axial and pseudoscalar current correlators and their couplings to eta and etaprime mesons
- Testing chiral effective theory with quenched lattice QCD
- Topological Susceptibility in a Uniform Magnetic Field
- Twist-3 Contributions in Semi-Inclusive DIS with Transversely Polarized Target
- Topological susceptibility near in SU(3) gauge theory
- Optimised Dirac Operators on the Lattice: Construction, Properties and Applications
- axial anomaly, , and topological susceptibility in the holographic soft-wall model
- Determination of the weak Hamiltonian in the SU(4) chiral limit through topological zero-mode wave functions
- Dislocations under gradient flow and their effect on the renormalized coupling
- Lattice Gauge Fields Topology Uncovered by Quaternionic sigma-model Embedding
- Holographic theories at finite -angle, CP-violation, glueball spectra and strong-coupling instabilities
- Additive and multiplicative renormalization of topological charge with improved gluon/fermion actions: A test case for 3-loop vacuum calculations, using overlap or clover fermions
- QCD, Flavor, and the de Sitter Swampland
- The -angle and axion physics of two-color QCD at fixed baryon charge. Part I
- Monopole and instanton effects in QCD
- and mesons in the Dyson-Schwinger approach using a generalization of the Witten-Veneziano relation
- Exploring the role of the charm quark in the rule
- Strongly interacting matter in extreme magnetic fields
- Absence of strong CP violation
- Toward construction of a consistent field theory with Poincare covariance in terms of step-function-type basis functions showing confinement/deconfinement, mass-gap and Regge trajectory for non-pure/pure non-Abelian gauge fields
- Analysis of systematic errors in the calculation of renormalization constants of the topological susceptibility on the lattice
- symmetry restoration at high baryon density
- The Veneziano ghost, glost and gauge copies in QCD
- Overlap Hypercube Fermions in QCD
- A Dyson-Schwinger model beyond isospin limit prepared for investigating U_A(1)-breaking temperature dependence
- Understanding the U(1) problem through dyon configuration in the Abelian projection
- Strong CP Violation and large- spin-flavor symmetry
- Scaling flow-based approaches for topology sampling in gauge theory
- Aspects of model dependence of eta'-eta complex treated by going beyond the isospin limit
- Topological susceptibility and excess kurtosis in SU(3) Yang-Mills theory
- Investigating the topological structure of quenched lattice QCD with overlap fermions by using multi-probing approximation
- QCD topological susceptibility from the nonlocal chiral quark model
- Group-Equivariant Diffusion Models for Lattice Field Theory
- A Fluctuation Theory of Topological Susceptibility
- Monopoles, spectra of overlap fermions, and eta-prime meson in external magnetic fields
- Eta-Eta' mixing and the derivative of the topological susceptibility at zero momentum transfer