Mesons from global anti-de Sitter space
Mesons from global anti-de Sitter space
复制标题
来自全球反德西特空间的介子
DOI：
10.1007/jhep01(2011)119
复制
发表时间：
2010
影响因子：
5.4
通讯作者：
V. Filev
中科院分区：
文献类型：
--
作者：
J. Erdmenger;V. Filev
In the context of gauge/gravity duality, we study both probeD7-andprobe D5-branes in global Anti-de Sitter space. The dual field theory is $ \mathcal{N} = 4 $ theory on $ \mathbb{R} \times {S^3} $ with added flavour. The branes undergo a geometrical phase transition in this geometry as function of the bare quark mass mq in units of 1/R with R the S3 radius. The meson spectra are obtained from fluctuations of the brane probes. First, we study them numerically for finite quark mass through the phase transition. Moreover, at zero quark mass we calculate the meson spectra analytically both in supergravity and in free field theory on $ \mathbb{R} \times {S^3} $ and find that the results match: For the chiral primaries, the lowest level is given by the zero point energy or by the scaling dimension of the operator corresponding to the fluctuations, respectively. The higher levels are equidistant. Similar results apply to the descendents. Our results confirm the physical interpretation that the mesons cannot pair-produce any further when their zero-point energy exceeds their binding energy.
