Renormalization group flow for noncommutative Fermi liquids
- Centro de Estudios en Fisica y Matematicas Basicas y Aplicadas, Universidad Autonoma de Chiapas, Calle 4a Oriente Norte 1428 Tuxtla Gutierrez, Chiapas (Mexico)
- Departamento de Fisica, Centro de Investigacion y de Estudios Avanzados del IPN P.O. Box 14-740, 07000 Mexico D.F. (Mexico)
- Department of Physics and Astronomy, University of Utah Salt Lake City, Utah 84112 (United States)
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.
- OSTI ID:
- 21502735
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 83, Issue 12; Other Information: DOI: 10.1103/PhysRevD.83.125006; (c) 2011 American Institute of Physics; ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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