A microscopic derivation of Ginzburg-Landau theory

Math Physics Seminar
Tuesday, November 1, 2011 - 11:05
1 hour (actually 50 minutes)
Skiles 005
Dept. of Math, Princeton University
We describe the first rigorous derivation of the celebrated Ginzburg-Landau (GL) theory, starting from the microscopic Bardeen-Cooper-Schrieffer (BCS) model. Close to the critical temperature, GL arises as an effective theory on the macroscopic scale. The relevant scaling limit is semiclassical in nature, and semiclassical analysis, with minimal regularity assumptions, plays an important part in our proof. The talk is based on joint work with C. Hainzl, R. Seiringer and J. P. Solovej.