Renormalization Group Flow for Noncommutative Fermi Liquids
arXiv:1008.4189 · doi: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 non-commutativity.
27 pages, 2 figures, section 3.2 and conclusions were changed
References in corpus (35)
- String Theory and Noncommutative Geometry
- Noncommutative Field Theory
- Quantum Field Theory on Noncommutative Spaces
- Renormalization Group Approach to Interacting Fermions
- Noncommutative Geometry and Matrix Theory: Compactification on Tori
- Noncommutative Perturbative Dynamics
- Holographic metals and the fractionalized Fermi liquid
- A Non-Fermi Liquid from a Charged Black Hole; A Critical Fermi Ball
- Stability of Fermi Surfaces and K-Theory
- General Properties of Noncommutative Field Theories
- Lowest-Landau-level theory of the quantum Hall effect: the Fermi-liquid-like state
- Physical Instances of Noncommuting Coordinates
- String Theory on Thin Semiconductors: Holographic Realization of Fermi Points and Surfaces
- Strings from IIB Matrices
- Noncommutative Geometry and D-Branes
- Theory of many-fermion systems
- Comments on Fermi Liquid from Holography
- A Note on UV/IR for Noncommutative Complex Scalar Field
- Beyond the Fermi Liquid Paradigm: Hidden Fermi Liquids
- Renormalization Group Equations and the Lifshitz Point In Noncommutative Landau-Ginsburg Theory
- Weakly Renormalized Near 1/16 SUSY Fermi Liquid Operators in N = 4 SYM
- Non-Relativistic Non-Commutative Field Theory and UV/IR Mixing
- Noncritical M-Theory in 2+1 Dimensions as a Nonrelativistic Fermi Liquid
- Composite Fermion Metals from Dyon Black Holes and S-Duality
- Exact Wavefunctions in a Noncommutative Field Theory
- Noncommutative Field Theory and the Dynamics of Quantum Hall Fluids
- Non-commutative Gross-Neveu model at large N
- Fermi liquid theory: a renormalization group point of view
- Renormalization group approach to Fermi Liquid Theory
- Renormalization Group Methods: Landau-Fermi Liquid and BCS Superconductor
- A Note on Unitarity of Non-Relativistic Non-Commutative Theories
- Inhomogeneous chiral symmetry breaking in noncommutative four fermion interactions
- A note on the topological order of noncommutative Hall fluids
- Noncommutative Field Theories and Smooth Commutative Limits
- Non-commutative field theory approach to two-dimensional vortex liquid system