Perturbative non-Fermi liquids from dimensional regularization

@article{Dalidovich2013PerturbativeNL,
  title={Perturbative non-Fermi liquids from dimensional regularization},
  author={Denis Leonidovich Dalidovich and Sung-Sik Lee},
  journal={Physical Review B},
  year={2013},
  volume={88},
  pages={245106}
}
We devise a dimensional regularization scheme for quantum field theories with Fermi surface to study scaling behaviour of non-Fermi liquid states in a controlled approximation. Starting from a Fermi surface in two space dimensions, the co-dimension of Fermi surface is extended to a general value while the dimension of Fermi surface is fixed. When Fermi surface is coupled with a critical boson centered at zero momentum, the interaction becomes marginal at a critical space dimension d_c=5/2. A… 
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