线性西格玛模型能描述低能下的行走规范理论吗？
Can a Linear Sigma Model Describe Walking Gauge Theories at Low Energies?
摘要：
近年来，人们利用格点技术对共形窗边缘附近的杨-米尔斯规范理论进行了大量的研究。这些研究揭示了强子在近共形（“行走”）规范理论中的谱与QCD谱有很大的不同。特别是，一个轻的flavorsinglet标量出现在光谱中，这是几乎退化的伪Nambu-Goldstone玻色子（PNGB）在目前最轻的夸克质量。这种状态是复合希格斯玻色子的可行候选者。目前，步行理论中的光状态的可接受的有效场论（EFT）描述尚未建立。这样的EFT将是有用的进行手性外推的晶格数据和晶格计算和现象学之间的桥梁。它已被证明，手征拉格朗日无法描述的红外动力学的理论的边缘附近的共形窗口。在这里，我们评估了线性西格玛模型作为替代EFT描述进行明确的手性适合晶格数据。我们的模型为PNGB质量和衰变常数提供了可接受的组合拟合，降低了$χ^2$ /d.o.f.。通过超过一个数量级相比，次领先阶手征微扰理论。
英文摘要：
In recent years, many investigations of confining Yang Mills gauge theories near the edge of the conformal window have been carried out using lattice techniques. These studies have revealed that the spectrum of hadrons in nearly conformal ("walking") gauge theories differs significantly from the QCD spectrum. In particular, a light flavorsinglet scalar appears in the spectrum which is nearly degenerate with the pseudo-NambuGoldstone bosons (PNGBs) at the lightest currently accessible quark masses. This state is a viable candidate for a composite Higgs boson. Presently, an acceptable effective field theory (EFT) description of the light states in walking theories has not been established. Such an EFT would be useful for performing chiral extrapolations of lattice data and for serving as a bridge between lattice calculations and phenomenology. It has been shown that the chiral Lagrangian fails to describe the IR dynamics of a theory near the edge of the conformal window. Here we assess a linear sigma model as an alternate EFT description by performing explicit chiral fits to lattice data. Our model provides an acceptable combined fit to the PNGB mass and decay constant, reducing the $χ^2$/d.o.f. by more than an order of magnitude compared to next-to-leading order chiral perturbation theory.
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