Topological effects in QCD and the problem of short-distance singularities

Abstract

The topological susceptibility and the higher moments of the topological charge distribution in QCD are expressed through certain n-point functions of the scalar and pseudo-scalar quark densities at vanishing momenta, which are free of short-distance singularities. Since the normalization of the correlation functions is determined by the non-singlet chiral Ward identities, these formulae provide an unambiguous regularization-independent definition of the moments and thus of the charge distribution.

Plain TeX source, 10 pages, reference added, version published in PLB

Cited by in corpus (60)

• Properties and uses of the Wilson flow in lattice QCD
• Exploring improved holographic theories for QCD: Part II
• Lattice QCD ensembles with four flavors of highly improved staggered quarks
• Basics of thermal field theory -- a tutorial on perturbative computations
• Theta dependence of SU(N) gauge theories in the presence of a topological term
• Axion phenomenology and $\theta$-dependence from $N_f=2+1$ lattice QCD
• Topological susceptibility in the SU(3) gauge theory
• Chiral symmetry breaking and the Banks--Casher relation in lattice QCD with Wilson quarks
• The chiral transition and U(1)_A symmetry restoration from lattice QCD using Domain Wall Fermions
• Phase Transitions in Particle Physics -- Results and Perspectives from Lattice Quantum Chromo-Dynamics
• Universality of the topological susceptibility in the SU(3) gauge theory
• Change of theta dependence in 4D SU(N) gauge theories across the deconfinement transition
• Non-Gaussianities in the topological charge distribution of the SU(3) Yang--Mills theory
• Topological susceptibility and the sampling of field space in $N_f=2$ lattice QCD simulations
• Nonlocality of the Aharonov-Bohm Effect
• Theta dependence of the vacuum energy in the SU(3) gauge theory from the lattice
• Topological susceptibility in finite temperature (2+1)-flavor QCD using gradient flow
• 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
• The 4D SU(3) gauge theory with an imaginary theta term
• Topological Lattice Actions
• Inherently Global Nature of Topological Charge Fluctuations in QCD
• Topological susceptibility of $N_f=2+1$ QCD from staggered fermions spectral projectors at high temperatures
• Topological susceptibility with the asqtad action
• Ultraviolet asymptotics of scalar and pseudoscalar correlators in hot Yang-Mills theory
• Neutron electric dipole moment using lattice QCD simulations at the physical point
• On the consistency of the Aoki-phase
• Topological susceptibility at $T>T_{\mathrm{c}}$ from master-field simulations of the SU(3) gauge theory
• Topological susceptibility from twisted mass fermions using spectral projectors and the gradient flow
• Frequency-splitting estimators of single-propagator traces
• Confinement, chiral symmetry, and the lattice
• A strategy to study the role of the charm quark in explaining the Delta{I}=1/2 rule
• OPE of the pseudoscalar gluonium correlator in massless QCD to three-loop order
• Non-trivial θ-Vacuum Effects in the 2-d O(3) Model
• The Reality of the Fundamental Topological Structure in the QCD Vacuum
• Spatial correlators in strongly coupled plasmas
• Spontaneous chiral symmetry breaking in QCD:a finite-size scaling study on the lattice
• The Large $N_c$ limit of QCD on the lattice
• Correlation and localization properties of topological charge density and the pseudoscalar glueball mass in SU(3) lattice Yang-Mills theory
• Topological susceptibility in lattice Yang-Mills theory with open boundary condition
• QCD with two dynamical flavors of chirally improved quarks
• Determining the chiral condensate from the distribution of the winding number beyond topological susceptibility
• Topological susceptibility from the twisted mass Dirac operator spectrum
• Accessing the topological susceptibility via the Gribov horizon
• Topology via Spectral Projectors with Staggered Fermions
• Anomalies, gauge field topology, and the lattice
• The clash of positivities in topological density correlators
• Topological Susceptibility in a Uniform Magnetic Field
• Topological charge density correlator in Lattice QCD with two flavours of unimproved Wilson fermions
• Localisation of Dirac modes in gauge theories and Goldstone's theorem at finite temperature
• Topological Susceptibility of the 2d O(3) Model under Gradient Flow
• Topological susceptibility from twisted mass fermions using spectral projectors
• Lattice QCD with fixed topology
• Short distance singularities and automatic O($a$) improvement: the cases of the chiral condensate and the topological susceptibility
• Vacuum structure and string tension in Yang-Mills dimeron ensembles
• On the YM and QCD spectra from five dimensional strings
• Topology in the 2d Heisenberg Model under Gradient Flow
• On the chiral anomaly and the Yang-Mills gradient flow
• Theta vacuum physics from QCD at fixed topology