Euclidean Correlation Functions in a Holographic Model of QCD

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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

Scientific paper

10.1103/PhysRevD.77.126010

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.

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