An Eta Primer: Solving the U(1) Problem with AdS/QCD

Abstract

Inspired by the AdS/CFT correspondence, we study the pseudoscalar mesons of QCD through a dual embedding in a strongly curved extra dimensional spacetime. This model incorporates the consequences of symmetry and has very few free parameters, due to constraints from five-dimensions and the operator product expansion of QCD. Using as inputs the pion, kaon, and rho masses and fpi, we compute the eta and eta prime masses to be 520 and 867 MeV, respectively. Their decay rates into photons are also computed and found to be in good agreement with data.

15 pages, 6 figures; typos fixed, references added in v2

References in corpus (10)

• Low energy hadron physics in holographic QCD
• QCD and a Holographic Model of Hadrons
• Chiral symmetry breaking from five dimensional spaces
• Quark structure of pseudoscalar mesons
• Glueball Mass Spectrum From Supergravity
• Quantum Field Theory and Unification in AdS5
• Tensors Mesons in AdS/QCD
• Pseudoscalar decay constants at large N_c
• The Physics of Instantons in the pseudoscalar and vector meson mixing
• Topological susceptibility for the SU(3) Yang--Mills theory

Cited by in corpus (26)

• Theta dependence of SU(N) gauge theories in the presence of a topological term
• The anomalous magnetic moment of the muon in the Standard Model: an update
• Theta_13: phenomenology, present status and prospect
• Anomalous Form Factor of the Neutral Pion in Extended AdS/QCD Model with Chern-Simons Term
• Pseudo scalar contributions to light-by-light correction of muon g-2 in AdS/QCD
• Strange mesons and kaon-to-pion transition form factors from holography
• Hadronic light-by-light contribution to the muon $g-2$ from holographic QCD with solved $U(1{)}_A$ problem
• Massive Pions, Anomalies and Baryons in Holographic QCD
• Meson-Nucleon Coupling from AdS/QCD
• Holographic models of composite Higgs in the Veneziano limit. Part I. Bosonic sector
• The Electric Dipole Moment of the Nucleons in Holographic QCD
• Nucleon structure functions at small $x$ via the Pomeron exchange in AdS space with a soft infrared wall
• Central Production of Eta and Eta-prime via Double Pomeron Exchange in the Sakai-Sugimoto Model
• Mesons and Nucleons in Soft-Wall AdS/QCD
• The 't Hooft Model As A Hologram
• The pseudoscalar glueball in a chiral Lagrangian model with instanton effect
• Hadron potentials within the gauge/string correspondence
• Euclidean Correlation Functions in a Holographic Model of QCD
• Charm meson couplings in hard-wall Holographic QCD
• Holographic QCD beyond the leading order
• $U(1{)}_A$ axial anomaly, ${\eta }^{\prime }$, and topological susceptibility in the holographic soft-wall model
• ${\pi }^0,\eta ,{\eta }^{\prime }$ two-photon transition form factors in the holographic soft-wall model and contributions to $(g-2{)}_{\mu }$
• Low-energy theorems and spectral density of the Dirac operator in AdS/QCD
• Strange meson form factors in holographic QCD
• Instantons and quark zero modes in AdS/QCD
• QCD topological susceptibility from the nonlocal chiral quark model