Quark mass and condensate in HQCD
High Energy Physics - Theory
2008-11-26 v3 High Energy Physics - Phenomenology
Abstract
We extend the Sakai-Sugimoto holographic model of QCD (HQCD) by including the scalar bi-fundamental "tachyon" field in the 8-brane-anti-8-brane probe theory. We show that this field is responsible both for the spontaneous breaking of the chiral symmetry, and for the generation of (current algebra) quark masses, from the point of view of the bulk theory. As a by-product we show how this leads to the Gell-Mann- Oakes-Renner relation for the pion mass.
Keywords
Cite
@article{arxiv.0708.2839,
title = {Quark mass and condensate in HQCD},
author = {Oren Bergman and Shigenori Seki and Jacob Sonnenschein},
journal= {arXiv preprint arXiv:0708.2839},
year = {2008}
}
Comments
23 pages, 7 figures; v2: corrected typos in eqs. (4.3), (4.4), (4.5), (4.9) and (4.11), and corrected figures 3, 4, 5 and 6; v3: section 5.3 on the pion mass rewritten in a clearer way, version published in JHEP