全息积分方程与步行技术色
Holographic integral equations and walking technicolour
摘要：
在一个简单的模型中研究了全息D3-D 7系统中任意运行耦合的手征对称性破缺。我们推导出方程的D 7嵌入，并显示有一个光π。特别是，我们提出了简单的积分方程，只涉及运行耦合和夸克自能，夸克凝聚和π衰变常数。我们将这些模型与Pagels-Stokar模型或等效的组分夸克模型进行了比较。我们讨论的影响，步行工艺色理论。我们也在四维场论中进行了类似的分析，其对偶是非超对称的D3-D5系统，并提出它代表了一个步行理论，其中夸克凝聚具有2 + sqrt{3}维。
英文摘要：
We study chiral symmetry breaking in the holographic D3-D7 system in a simple model with an arbitrary running coupling. We derive equations for the D7 embedding and show there is a light pion. In particular we present simple integral equations, involving just the running coupling and the quark self energy, for the quark condensate and the pion decay constant. We compare these to the Pagels-Stokar or constituent quark model equivalent. We discuss the implications for walking Technicolour theories. We also perform a similar analysis in the four dimensional field theory whose dual is the non-supersymmetric D3-D5 system and propose that it represents a walking theory in which the quark condensate has dimension 2 + sqrt{3}.
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