Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2010-08-25
Phys.Rev.D83:125006,2011
Physics
High Energy Physics
High Energy Physics - Theory
27 pages, 2 figures, section 3.2 and conclusions were changed
Scientific paper
10.1103/PhysRevD.83.125006
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 non-commutativity.
Estrada-Jimenez Sendic
Garcia-Compean Hugo
Wu Yong-Shi
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