Presenting the physics of the most challenging problems in condensed matter using the
conceptual framework of quantum field theory, this book is of great interest to physicists in …

We present a renormalization-group theory for the onset of Ising-nematic order in a Fermi
liquid in two spatial dimensions. This is a quantum phase transition, driven by electron …

We develop a method for bosonizing the Fermi surface based on the formalism of the
coadjoint orbits. This allows one to parametrize the Fermi surface by a bosonic field that …

We study a model of fermions interacting with a gauge field and calculate gauge-invariant
two-particle Green's functions or response functions. The leading singular contributions from …

I review two classes of strong coupling problems in condensed matter physics, and describe
insights gained by application of the AdS/CFT correspondence. The first class concerns non …

We expand upon an earlier renormalization group analysis of a non-Fermi liquid fixed point
that plausibly governs the two-dimensional electron liquid in a magnetic field near filling …

We review the theory of interacting Fermi systems whose low-energy physics is dominated
by forward scattering, that is scattering processes generated by effective interactions with …

We consider the problem of bosonic particles interacting repulsively in a strong magnetic
field at the filling factor v= 1. We project the system in the lowest Landau level and set up a …

Abstract We present a Chern-Simons theory of the fractional quantum Hall effect in which
flux attachment is followed by a transformation that effectively attaches the correlation holes …

We derive the quantum Boltzmann equation (QBE) of composite fermions at/near the ν= 1/2
state using the nonequilibrium Green's-function technique. The lowest-order perturbative …