Euclidean Correlation Functions in a Holographic Model of QCD

Abstract

We compute euclidean coordinate space correlation functions in a holographic model of QCD. We concentrate, in particular, on channels that are related to the U(1)_A problem, the flavor-singlet axialvector, pseudoscalar meson, and pseudoscalar glueball (topological charge) correlator. We find that even a very simple holographic model defined on a slice of AdS_5 provides a qualitatively correct description of QCD correlation functions. We study the role of anomaly terms, and show that both euclidean positivity and low energy theorems based on the axial anomaly relation are correctly implemented. We compare the results with expectations from an instanton model of the QCD vacuum.

16 pages, 5 figures, minor changes (references added), to appear in Phys Rev D

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Cited by in corpus (9)

• Theta dependence of SU(N) gauge theories in the presence of a topological term
• Vector Correlators in Lattice QCD: methods and applications
• The chiral condensate in holographic models of QCD
• Gravitational Form Factors in the Axial Sector from an AdS/QCD Model
• Hadronic light-by-light contribution to the muon $g-2$ from holographic QCD with solved $U(1{)}_A$ problem
• Meson-Nucleon Coupling from AdS/QCD
• Spatial correlators in strongly coupled plasmas
• Lectures on nonperturbative QCD ( Nonperturbative Topological Phenomena in QCD and Related Theories)
• $U(1{)}_A$ axial anomaly, ${\eta }^{\prime }$, and topological susceptibility in the holographic soft-wall model