论文标题
非Furmi液体如何治愈其红外差异
How non-Fermi liquids cure their infrared divergences
论文作者
论文摘要
$ d = 2 $空间尺寸的非弗米液体可能是将费米表面与无间隙玻色子耦合而产生的。然而，在有限温度下，由于红外差异，扰动量子场理论描述分解。这些是由虚拟静态骨器模式引起的，并且折磨了费米子和玻感相关器。我们展示了这些差异是如何通过恢复无限图表并纠正标准的Eliashberg方程的自洽的玻色子和费米昂自我能力来解决的。在$ d = 3-ε$尺寸中扩展了先前的方法，我们发现了一种新的“热非富特液体”制度，该制度违反了零温度固定点的缩放定律，并在广泛的尺度上占主导地位。我们得出的结论是，在有限温度下，量子相变和量子古典交叉的基本特性在具有软骨波动的系统中以关键的方式进行了修改，我们开始研究某些现象学后果。
Non-Fermi liquids in $d=2$ spatial dimensions can arise from coupling a Fermi surface to a gapless boson. At finite temperature, however, the perturbative quantum field theory description breaks down due to infrared divergences. These are caused by virtual static bosonic modes, and afflict both fermionic and bosonic correlators. We show how these divergences are resolved by self-consistent boson and fermion self-energies that resum an infinite class of diagrams and correct the standard Eliashberg equations. Extending a previous approach in $d=3-ε$ dimensions, we find a new "thermal non-Fermi liquid" regime that violates the scaling laws of the zero temperature fixed point and dominates over a wide range of scales. We conclude that basic properties of quantum phase transitions and quantum-classical crossovers at finite temperature are modified in crucial ways in systems with soft bosonic fluctuations, and we begin a study of some of the phenomenological consequences.
