论文标题
质量扰动理论在2FARAILS SCHWINGER模型中具有相反的质量
Mass Perturbation Theory in the 2-Flavor Schwinger Model with Opposite Masses
论文作者
论文摘要
我讨论了$θ= 0 $的2Flavor Schwinger模型，而小相等和相反的fermion块（或$θ=π$具有相等的质量）。无质量模型的模型具有不间断的共形对称性。我认为，这个特殊的质量术语会修改保形扇区而不打破共形对称性。我详细说明了质量 - 扰动理论如何适用于风味 - 迪亚对式标量双线性的相关因子。该结果提供了定量证据，表明该理论对于小非零费米的质量没有质量差距。巨大的费米子被绑定在形式不变的非第章东西中。我展示了当打开小费米子质量并计算小质量的相关缩放尺寸时，如何保持长距离结合对称性。我将Fermion-BiLerinear量表的2和4点函数计算为Fermion质量中的扰动理论的领先顺序，并描述了将计算扩展到所有较高标量相关器的直接过程。我希望该模型是一个有用的非平地示例，它是一个具有不间断的共形对称性的扇形，并与相互作用的质量相互作用的质量相互作用，在其中我们可以在一致的近似值中分析粒子物理学。
I discuss the 2-flavor Schwinger model with $θ=0$ and small equal and opposite fermion masses (or $θ=π$ with equal masses). The massless model has an unparticle sector with unbroken conformal symmetry. I argue that this special mass term modifies the conformal sector without breaking the conformal symmetry. I show in detail how mass-perturbation-theory works for correlators of flavor-diagonal fermion scalar bilinears. The result provides quantitative evidence that the theory has no mass gap for small non-zero fermion masses. The massive fermions are bound into conformally invariant unparticle stuff. I show how the long-distance conformal symmetry is maintained when small fermion masses are turned on and calculate the relevant scaling dimensions for small mass. I calculate the corrections to the 2- and 4-point functions of the fermion-bilinear scalars to leading order in perturbation theory in the fermion mass and describe a straightforward procedure to extend the calculation to all higher scalar correlators. I hope that this model as a useful and non-trivial example of unparticle physics, a sector with unbroken conformal symmetry coupled to interacting massive particles, in which we can analyze the particle physics in a consistent approximation.
