Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2007-02-20
Nucl.Phys.B787:98-134,2007
Physics
High Energy Physics
High Energy Physics - Theory
30 pages + 5 appendices, 2 figures
Scientific paper
10.1016/j.nuclphysb.2007.07.009
We consider a general framework to study holographically the dynamics of fundamental quarks in a confining gauge theory. Flavors are introduced by placing a set of (coincident) branes and antibranes on a background dual to a confining color theory. The spectrum contains an open string tachyon and its condensation describes the U(N_f)_L x U(N_f)_R -> U(N_f)_V symmetry breaking. By studying worldvolume gauge transformations of the flavor brane action, we obtain the QCD global anomalies and an IR condition that allows to fix the quark condensate in terms of the quark mass. We find the expected N_f^2 Goldstone bosons (for m_q=0), the Gell-Mann-Oakes-Renner relation (for m_q small) and the \eta' mass. Remarkably, the linear confinement behavior for the masses of highly excited spin-1 mesons, m_n^2 ~ n is naturally reproduced.
Casero Roberto
Kiritsis Elias
Paredes Angel
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