67 citations
4 papers
On the Multilinear Restriction and Kakeya conjectures
Jonathan Bennett, Anthony Carbery, Terence Tao
We prove -linear analogues of the classical restriction and Kakeya conjectures in . Our approach involves obtaining monotonicity formulae pertaining to a certain evolution…
Impurity in the Tomonaga-Luttinger model: a Functional Integral Approach
I. V. Lerner, I. V. Yurkevich
In this tutorial notes we review a functional bosonization approach in the Keldysh technique to one-dimensional Luttinger liquid in the presence of an impurity.
Breakdown of weak-field magnetotransport at a metallic quantum critical point
J. Fenton, A. J. Schofield
We show how the collapse of an energy scale in a quantum critical metal can lead to physics beyond the weak-field limit usually used to compute transport quantities. For a density-…
Transport anomalies in a simplified model for a heavy electron quantum critical point
P. Coleman, J. B. Marston, A. J. Schofield
We discuss the transport anomalies associated with the development of heavy electrons out of a neutral spin fluid using the large-N treatment of the Kondo-Heisenberg lattice model.…