Un-Fermi Liquids: Unparticles in Strongly Correlated Electron Matter

Understand

Since any non-trivial infrared dynamics in strongly correlated electron matter must be controlled by a critical fixed point, we argue that the form of the single-particle propagator can be deduced simply by imposing scale invariance.

• As a consequence, the unparticle picture proposed by Georgi\cite{georgi} is the natural candidate to describe such dynamics.
• Unparticle stuff is scale-invariant matter with no particular mass.
• Scale invariance dictates that the propagator has an algebraic form which can admit zeros and hence is a candidate to explain the ubiquitous pseudogap state of the cuprates.