2000/09/25 by R. Shankar, Shankar, R.
Physics and Astronomy · #FOS: Physical sciences #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #cond-mat.mes-hall
paper · pdf · doi:10.48550/arxiv.cond-mat/0009384
Latex 4 figures Sumbitted to the Luttinger Memorial Issue J. Stat. Phys
arxiv created 2000/09/25 · arxiv updated 2009/11/30
Luttinger's contributions abound in different parts of many-body physics. Here I review the ones that appear when one uses the Renormalization Group (RG) to study the subject: the Luttinger Liquid, Luttinger's Theorem (on the volume of the Fermi surface) and the Kohn-Luttinger Theorem on the superconducting instability of all metals as one approaches absolute zero.