VA\tilde V correlator within the instanton vacuum model

Abstract

The correlator of vector and nonsinglet axial-vector currents in the external electromagnetic field is calculated within the instanton liquid model of QCD vacuum. In general the correlator has two Lorentz structures: longitudinal w_L and transversal w_T with respect to axial-vector index. Within the instanton model the saturation of the anomalous w_L structure is demonstrated. It is known that in the chiral limit the transversal structure w_T is free from perturbative corrections. In this limit within the instanton model we calculate the transversal invariant function w_T at arbitrary momentum transfer, q, and show the absence of power corrections to this structure at large q^2. Instead there arise the exponential corrections to w_T at large q^2 reflecting nonlocal properties of QCD vacuum. The slope of w_T at zero virtuality, the QCD vacuum magnetic susceptibility of the quark condensate and its momentum dependence are estimated.

16 pages, 7 figures (revised version, some typos are corrected)

References in corpus (7)

• Refinements in electroweak contributions to the muon anomalous magnetic moment
• Perturbative and nonperturbative renormalization of anomalous quark triangles
• Vector and axial-vector correlators in a nonlocal chiral quark model
• New nonrenormalization theorems for anomalous three point functions
• Adler function and hadronic contribution to the muon g-2 in a nonlocal chiral quark model
• Magnetic susceptibility of the QCD vacuum
• Pion radii in nonlocal chiral quark model

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• Magnetic susceptibility of QCD at zero and at finite temperature from the lattice
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• The pseudoscalar hadronic channel contribution of the light-by-light process to the muon (g-2) within the nonlocal chiral quark model
• Pion pole light-by-light contribution to g-2 of the muon in a nonlocal chiral quark model
• Low energy constants of \chiPT from the instanton vacuum model
• Magnetic susceptibility of the quark condensate via holography
• Continuous Wavelet Transform in Quantum Field Theory
• Photon distribution amplitudes and light-cone wave functions in chiral quark models
• Dynamical quark loop light-by-light contribution to muon g-2 within the nonlocal chiral quark model
• Status of the lepton g-2 and effects of hadronic corrections
• Regge spectra of excited mesons, harmonic confinement and QCD vacuum structure
• Magnetic Moments of Heavy ${\Xi }_Q$ Baryons in Light Cone QCD Sum Rules
• Covariant Non-local Chiral Quark Model and Pion-photon Transition Distribution Amplitudes
• The pseudoscalar glueball in a chiral Lagrangian model with instanton effect
• The anomalous decay $f_1(1285)\to \rho \gamma$ and related processes
• Hadronic light-by-light scattering contribution to the muon g-2
• Nonperturbative features of the axial current
• Successes and Failures of a More Comprehensive Hard Wall AdS/QCD
• Dispersive approach to the axial anomaly and nonrenormalization theorem
• Singlet VA \tilde V correlator within the instanton vacuum model
• The light-by-light contribution to the muon anomalous magnetic moment from the axial-vector mesons exchanges within the nonlocal quark model
• Magnetic susceptibility of the QCD vacuum in a nonlocal SU(3) PNJL model