Chiral symmetry breaking and pions in nonsupersymmetric gauge/gravity duals

被引:448
作者
Babington, J
Erdmenger, J
Evans, N
Guralnik, Z
Kirsch, I
机构
[1] Humboldt Univ, Inst Phys, D-12489 Berlin, Germany
[2] Univ Southampton, Dept Phys, Southampton SO17 1BJ, Hants, England
来源
PHYSICAL REVIEW D | 2004年 / 69卷 / 06期
关键词
D O I
10.1103/PhysRevD.69.066007
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We study gravity duals of large N nonsupersymmetric gauge theories with matter in the fundamental representation by introducing a D7-brane probe into deformed AdS backgrounds. In particular, we consider a D7-brane probe in both the Ads Schwarzschild black hole solution and in the background found by Constable and Myers, which involves a nonconstant dilaton and S-5 radius. Both these backgrounds exhibit confinement of fundamental matter and a discrete glueball and meson spectrum. We numerically compute the (Psi) over bar Psi condensate and meson spectrum associated with these backgrounds. In the AdS-black-hole background, a quark-bilinear condensate develops only at a nonzero quark mass. We speculate on the existence of a third order phase transition at a critical quark mass where the D7 embedding undergoes a geometric transition. In the Constable-Myers background, we find a chiral symmetry breaking condensate as well as the associated Goldstone boson in the limit of small quark mass. The existence of the condensate ensures that the D7-brane never reaches the naked singularity at the origin of the deformed AdS space.
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页数:13
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