Intersecting D4-branes Model of Holographic QCD and Tachyon Condensation

TL;DR

This paper models holographic QCD using intersecting D4-branes with a tachyon field, demonstrating how quark masses and meson properties emerge from tachyon condensation, aligning with known QCD relations.

Contribution

It introduces a D4-brane model with a tachyon field to describe chiral symmetry breaking and meson mass generation in holographic QCD.

Findings

Tachyon field provides quark mass and condensate.

Meson masses arise from tachyon condensation.

Reproduces Gell-Mann-Oakes-Renner relation.

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.