Ultraviolet/infrared mixing in non-Fermi liquids

@article{Mandal2015UltravioletinfraredMI,
  title={Ultraviolet/infrared mixing in non-Fermi liquids},
  author={Ipsita Mandal and Sung-Sik Lee},
  journal={Physical Review B},
  year={2015},
  volume={92},
  pages={035141}
}
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 a UV/IR mixing. By… 
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