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Renormalization group flow for noncommutative Fermi liquids

Sendic Estrada-Jiménez1,*, Hugo García-Compeán2,†, and Yong-Shi Wu3,4,‡

  • 1Centro de Estudios en Física y Matemáticas Básicas y Aplicadas, Universidad Autónoma de Chiapas, Calle 4a Oriente Norte 1428 Tuxtla Gutiérrez, Chiapas, México
  • 2Departamento de Física, Centro de Investigación y de Estudios Avanzados del IPN P.O. Box 14-740, 07000 México D.F., México
  • 3Department of Physics and Astronomy, University of Utah Salt Lake City, Utah 84112, USA
  • 4Department of Physics, Fudan University, Shanghai 200433, China

  • *sestrada@unach.mx
  • †compean@fis.cinvestav.mx
  • ‡wu@physics.utah.edu
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Phys. Rev. D 83, 125006 – Published 1 June, 2011

DOI: https://doi.org/10.1103/PhysRevD.83.125006

Abstract

Some recent studies of the AdS/CFT correspondence for condensed matter systems involve the Fermi liquid theory as a boundary field theory. Adding B-flux to the boundary D-branes leads in a certain limit to the noncommutative Fermi liquid, which calls for a field theory description of its critical behavior. As a preliminary step to more general consideration, the modification of the Landau’s Fermi liquid theory due to noncommutativity of spatial coordinates is studied in this paper. We carry out the renormalization of interactions at tree level and one loop in a weakly coupled fermion system in two spatial dimensions. Channels ZS, ZS’ and BCS are discussed in detail. It is shown that while the Gaussian fixed-point remains unchanged, the BCS instability is modified due to the space noncommutativity.

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Phys. Rev. D 83, 125006– Published 1 June, 2011
  • Received 8 October 2010
Article part of CHORUS

© 2011 American Physical Society

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