A genuine dilaton $\sigma$ allows scales to exist even in the limit of exact conformal invariance. In gauge theories, these may occur at an infrared fixed point (IRFP) ${\alpha }_{\mathrm{IR}}$ through dimensional transmutation. These large scales at ${\alpha }_{\mathrm{IR}}$ can be separated from small scales produced by ${\theta }_{\mu }^{\mu }$ , the trace of the energy-momentum tensor. For quantum chromodynamics (QCD), the conformal limit can be combined with chiral $SU\left(3\right)\times SU\left(3\right)$ symmetry to produce chiral-scale perturbation theory $\chi$ PT ${}_{\sigma }$ , with $f_0\left(500\right)$ as the dilaton. The technicolor (TC) analogue of this is crawling TC: at low energies, the gauge coupling $\alpha$ goes directly to (but does not walk past) ${\alpha }_{\mathrm{IR}}$ , and the massless dilaton at ${\alpha }_{\mathrm{IR}}$ corresponds to a light Higgs boson at $\alpha \lesssim {\alpha }_{\mathrm{IR}}$ . It is suggested that the $W^{\pm }$ and $Z^0$ bosons set the scale of the Higgs boson mass. Unlike crawling TC, in walking TC, ${\theta }_{\mu }^{\mu }$ produces all scales, large and small, so it is hard to argue that its “dilatonic” candidate for the Higgs boson is not heavy.

中文翻译：

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量规理论中的正版Dilatons

真正的炫乐 $\sigma$ 甚至在精确的共形不变性的极限内也允许存在标度。在规范理论中，这些可能发生在红外固定点（IRFP） ${\alpha }_{\mathrm{红外}}$ 通过尺寸变换。这些大规模的 ${\alpha }_{\mathrm{红外}}$ 可以与由 ${\theta }_{\mu }^{\mu }$ ，能量动量张量的痕迹。对于量子色动力学（QCD），可以将共形极限与手性相结合 $\mathrm{小号}ü（3）\times \mathrm{小号}ü（3）$ 对称性产生手性尺度扰动理论 $\chi$ PT ${}_{\sigma }$ ，带有 $F_0（500）$ 作为炫乐。其彩色（TC）类似物是爬行TC：在低能量时，量规耦合 $\alpha$ 直接去（但不走过去） ${\alpha }_{\mathrm{红外}}$ ，以及无质量的dilaton ${\alpha }_{\mathrm{红外}}$ 对应于一个希格斯玻色子 $\alpha \lesssim {\alpha }_{\mathrm{红外}}$ 。建议 ${\mathrm{w\; ^}}^{\pm }$ 和 ${ž}^0$ 玻色子设定希格斯玻色子质量的尺度。与爬行TC不同，在步行TC中， ${\theta }_{\mu }^{\mu }$ 可以产生各种大小的尺度，因此很难说希格斯玻色子的“膨胀”候选物并不重。