Abstract
We construct a new holographic description of QCD using domain wall fermions. The construction consists of probe D7 branes in a D5 brane geometry describing quarks on a 4+1d defect in a 5+1d gauge theory. We then compactify one dimension of the D5 to introduce confinement in the gauge degrees of freedom. In addition we allow a spatial dependent mass term for the D7 brane quarks to isolate chiral fermions on 3+1d domain walls. The D7 world volume fields, when restricted to the domain wall position, provide an AdS/QCD description. We compute the spectrum and compare to data. We include higher dimension operators to systematically improve the description.
Highlights
Domain wall fermions [1] are a powerful technique for isolating massless chiral fermions within a gauge theory
Restricting the holographic fields to the locus of the domain wall gives a holographic description of the dynamics of those chiral fermions
We take this approach to provide a description of a ð3 þ 1Þ-dimensional domain wall theory with Nf chiral quarks on the defect—the basic construct is a ð5 þ 1Þdimensional gauge theory compactified in one dimension, with quarks present on ð4 þ 1Þ-dimensional defects
Summary
Domain wall fermions [1] are a powerful technique for isolating massless chiral fermions within a gauge theory. Restricting the holographic fields to the locus of the domain wall gives a holographic description of the dynamics of those chiral fermions We take this approach to provide a description of a ð3 þ 1Þ-dimensional domain wall theory with Nf chiral quarks on the defect—the basic construct is a ð5 þ 1Þdimensional gauge theory (on a D5 brane) compactified in one dimension (introducing confinement), with quarks present on ð4 þ 1Þ-dimensional defects (probe D7 branes). When the ð4 þ 1Þ-dimensional mass is large the position of the domain wall can be found and the holographic fields, when reduced to this locus, provide a description of the chiral fermions. The holographic description should be matched at the 3 GeV upper cutoff to QCD in the intermediate coupling regime, and higher dimension operators (HDOs) would be expected to be present [6]. We show that the predictions of the model can be systematically improved in this way
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