非费米液体中的紫外/红外混合
Ultraviolet/infrared mixing in non-Fermi liquids
摘要：
本文研究了具有一般维数和余维费米表面的非费米液体的低能有效场论。当费米面的维数大于1时，低能粒子-空穴激发在整个费米面上保持强耦合。在这种情况下，即使是动量空间中的局部观测量（如格林函数）也会以奇异的方式依赖于费米表面的大小，从而导致紫外/红外（UV/IR）混合。通过独立调节费米面的维数和余维，我们发现了由紫外/红外混合和相互作用控制的微扰非费米液体不动点。
英文摘要：
We study low-energy effective field theories for non-Fermi liquids with Fermi surfaces of general dimensions and co-dimensions. When the dimension of Fermi surface is greater than one, low-energy particle-hole excitations remain strongly coupled with each other across the entire Fermi surface. In this case, even the observables that are local in the momentum space (such as the Green's functions) become dependent on the size of the Fermi surface in singular ways, resulting in an ultraviolet/infrared (UV/IR) mixing. By tuning the dimension and co-dimension of the Fermi surface independently, we find perturbative non-Fermi liquid fixed points controlled by both UV/IR mixing and interactions.
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