论文标题

2Favor Schwinger模型中的自动微调

Automatic Fine-Tuning in the 2-Flavor Schwinger Model

论文作者

Georgi, Howard

论文摘要

我讨论了没有费米亚质量的2Fairaver Schwinger模型。我认为,在非距离算子的线性组合中,长距离理论的线性组合可以从长距离理论中消失,使其易于理解模型的某些令人困惑的特征,具有小的费米子质量。特别是,我认为,对于平均费米昂质量$ m_f $和质量差$Δm$,只要两者都很小与动力学量规玻色子质量$ m = e \ sqrt {2/π} $,在低能理论中,isospin breaking效果受到低能量理论的影响。 $ \ exp \ bigl( - (m/m_f)^{2/3} \ bigr)$即使$Δm\ of m_f $!在低能理论中,这看起来像是指数的微调,但它是通过共形结合自动完成的。

I discuss the 2-flavor Schwinger model both without and with fermion masses. I argue that the concept of "conformal coalescence," in unparticle physics in which linear combinations of short distance operators can disappear from the long-distance theory, makes it easy to understand some puzzling features of the model with small fermion masses. In particular, I argue that for an average fermion mass $m_f$ and a mass difference $δm$, so long as both are small compared to the dynamical gauge boson mass $m=e\sqrt{2/π}$, isospin breaking effects in the low energy theory are exponentially suppressed by powers of $\exp\Bigl(-(m/m_f)^{2/3}\Bigr)$ even if $δm\approx m_f$! In the low energy theory, this looks like exponential fine-tuning, but it is done automatically by conformal coalescence.

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