论文标题
仪表理论中的真正dilatons
Genuine Dilatons in Gauge Theories
论文作者
论文摘要
真正的dilaton $σ$即使在确切的保形不变性的极限中也可以存在。在规格的理论中，这些可能发生在红外固定点（IRFP）$α_ {\ text {ir}} $通过尺寸变速器。这些以$α_ {\ text {ir}} $的大尺度可以与由$θ^μ_μ$（能量 - 摩托张量的痕迹）产生的小尺度分开。对于量子染色体动力学（QCD），可以将共形限制与手性$ su（3）\ times su（3）$对称性结合使用，以产生手性尺寸扰动理论$χ$ pt $_σ$，$ f_0（500）（500）$作为Dilaton。 Technicolor（TC）类似物的类似物是爬行的TC：在低能的情况下，量规耦合$α$直接转到（但不会走过）$α_ {\ text {ir}} $，而无质量的dilaton则在$α__ {\ text {\ ir} $ sims $ aints $ aints $ aints $ aint aT aT aT aT aT aT aT aing boson α_ {\ text {ir}} $。建议$ w^\ pm $和$ z^0 $ bosons设置了希格斯玻色子质量的规模。与爬行的TC不同，在步行TC中，$θ^μ_μ$产生了$ scales $ scales，大小，因此很难说它的``dialatonic''''Higgs Boson候选者并不沉重。
A genuine dilaton $σ$ allows scales to exist even in the limit of exact conformal invariance. In gauge theories, these may occur at an infrared fixed point (IRFP) $α_{\text{IR}}$ through dimensional transmutation. These large scales at $α_{\text{IR}}$ can be separated from small scales produced by $θ^μ_μ$, the trace of the energy-momentum tensor. For quantum chromodynamics (QCD), the conformal limit can be combined with chiral $SU(3) \times SU(3)$ symmetry to produce chiral-scale perturbation theory $χ$PT$_σ$, with $f_0(500)$ as the dilaton. The technicolor (TC) analogue of this is crawling TC: at low energies, the gauge coupling $α$ goes directly to (but does not walk past) $α_{\text{IR}}$, and the massless dilaton at $α_{\text{IR}}$ corresponds to a light Higgs boson at $α\lesssim α_{\text{IR}}$. 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, $θ^μ_μ$ produces $all$ scales, large and small, so it is hard to argue that its ``dilatonic'' candidate for the Higgs boson is not heavy.
