TOPICS IN QUANTUM MANY-BODY PHYSICS AND RANDOM MATRIX THEORY

Jacobus Verbaarschot
.

Department of Physics and Astronomy, Stony Brook
.

Announcments

Syllabus

Overview of lecture and list of topics to be discussed.

Cumulative Lecture Notes

Lecture 1. Random Matrix Theory and Spectra.

Lecture 2. The Orthogonal Polynomial Method.

Lecture 3. Anti-Unitary Symmetries and Classification of Random Matrix Theories.

Lecture 4. The Altland-Zirnbauer Classification.

Lecture 5. The Replica Trick.

Lecture 6. Sigma Model for One- and Two-Point Function