Intersecting D4-branes Model of Holographic QCD and Tachyon Condensation
arXiv:1003.2971 · doi:10.1007/JHEP07(2010)091
Abstract
We consider the intersecting D4-brane and anti-D4-brane model of holographic QCD, motivated by the model that has recently been suggested by Van Raamsdonk and Whyte. We analyze such D4-branes by the use of the action with a bi-fundamental ``tachyon'' field, so that we find the classical solutions describing the intersecting D4-branes and the U-shaped D4-branes. We show that the ``tachyon'' field in the bulk theory provides a current quark mass and a quark condensate to the dual gauge theory and that the lowest modes of mesons obtain mass via tachyon condensation. Then evaluating the properties of a pion, one can reproduce Gell-Mann-Oakes-Renner relation.
24 pages, 5 figures; v2: refs. added; v3: discussions on Chern-Simons terms are added
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