论文标题
全息软壁模型中手性对称破坏的非线性实现
Nonlinear realization of chiral symmetry breaking in holographic soft wall models
论文作者
论文摘要
我们研究了Karch，Katz，Son和Stephanov \ cite {Karch：2006pv}的全息软壁模型的非线性扩展，并具有正二次DiLaton。我们认为速旋场具有希格斯的潜力，这在红外方面带来了手性对称性破裂的更为自然的实现。利用AD/CFT词典和全息重态化，我们发现手性冷凝物是夸克质量的函数。希格斯势的非线性导致手性冷凝物与夸克质量之间的非线性关系。求解有效的schrödinger方程为田间扰动，我们估计介子质量和衰减常数，并评估它们对夸克质量的依赖性。在轴向和伪级扇区中，随着夸克质量的增加，我们发现了衰减常数的有趣行为。我们还研究了5D跑步质量对速度场的效果。我们得出的结论是，具有HIGGS的非线性软壁模型对旋转的潜力和阳性二次DILATON不提供手性极限的自发对称性破裂。
We investigate nonlinear extensions of the holographic soft wall model proposed by Karch, Katz, Son and Stephanov \cite{Karch:2006pv} with a positive quadratic dilaton. We consider a Higgs potential for the tachyonic field that brings a more natural realisation of chiral symmetry breaking in the infrared regime. Utilising the AdS/CFT dictionary and holographic renormalisation we find the chiral condensate as a function of the quark mass. The nonlinearity of the Higgs potential leads to a nonlinear relation between the chiral condensate and the quark mass. Solving the effective Schrödinger equations for the field perturbations we estimate meson masses and decay constants and evaluate their dependence on the quark mass. In the axial and pseudoscalar sector we find an interesting behaviour for the decay constants as the quark mass increases. We also investigate the effect of a 5d running mass for the tachyonic field. We conclude that nonlinear soft wall models with a Higgs potential for the tachyon and a positive quadratic dilaton do not provide spontaneous symmetry breaking in the chiral limit.
