Holographic two dimensional QCD and Chern-Simons term

Details Holographic two dimensional QCD and Chern-Simons term Holographic two dimensional QCD and Chern-Simons term

2011-03-31

arxiv.org/abs/1103.6286v1

JHEP 1107:033,2011

Physics

High Energy Physics

High Energy Physics - Theory

22 pages

Scientific paper

10.1007/JHEP07(2011)033

We present a holographic realization of large Nc massless QCD in two dimensions using a D2/D8 brane construction. The flavor axial anomaly is dual to a three dimensional Chern-Simons term which turns out to be of leading order, and it affects the meson spectrum and holographic renormalization in crucial ways. The massless flavor bosons that exist in the spectrum are found to decouple from the heavier mesons, in agreement with the general lore of non-Abelian bosonization. We also show that an external dynamical photon acquires a mass through the three dimensional Chern-Simons term as expected from the Schwinger mechanism. Massless two dimensional QCD at large Nc exhibits anti-vector-meson dominance due to the axial anomaly.

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