论文标题
接近1+1维相对论Anyons的偏高长期订单
Approaching off-diagonal long-range order for 1+1-dimensional relativistic anyons
论文作者
论文摘要
我们在1+1个维度中构建和研究相对论的人，概括了dirac费米的众所周知的模型。首先，构造自由Anyons的模型，然后以两种方式扩展：（i）像Luttinger模型一样添加密度密度相互作用，以及（ii）（ii）通过将自由的Anyons耦合到U（1） - 高档字段，如Schwinger模型中。其次，研究了这些扩展的物理特性。通过在零温度下调查偏高的长距离订单（ODLRO），我们表明任何人统计允许一个人接近ODLRO，但是这种可能性被量规耦合破坏了。后者是由于仪表不变性产生的非零有效质量所致，我们表明，这也意味着筛选的存在与任何人统计无关。
We construct and study relativistic anyons in 1+1 dimensions generalizing well-known models of Dirac fermions. First, a model of free anyons is constructed and then extended in two ways: (i) by adding density-density interactions, as in the Luttinger model, and (ii) by coupling the free anyons to a U(1)-gauge field, as in the Schwinger model. Second, physical properties of these extensions are studied. By investigating off-diagonal long-range order (ODLRO) at zero temperature, we show that anyonic statistics allows one to get arbitrarily close to ODLRO but that this possibility is destroyed by the gauge coupling. The latter is due to a nonzero effective mass generated by gauge invariance, which we show also implies the presence of screening, independently of the anyonic statistics.
