05-21-2880-vl Many-Body Field Theory

Instructors: Prof. Ph. D. Achim Schwenk

Event type: Lecture

Org-unit: Dept. 05 – Physics

Displayed in timetable as: 05-21-2880-vl

Subject:

Crediting for:

Language of instruction: Englisch

Min. | Max. participants: - | -

Course Contents:
This course will give a theoretical introduction to the physics of many‐body
systems, with special attention to modern concepts and to applications
ranging from cold atoms to nuclei, neutron stars and condensed matter
systems. If you have any questions regarding this course, please email me.

Tentative Outline:

1. Introduction

2. Review of second quantization and applications

3. Path integrals and many‐body partition function

4. Effective field theory

5. Perturbation theory, Feynman rules and applications

6. Superconductivity and Nambu‐Gorkov formalism

7. Universal properties of strongly interacting Fermi gases and strong‐coupling methods

8.* Fermi liquid theory

9.* Response functions

10.* Effective action and density functional theory

(* Topics 8‐10 if time permits.)

Literature:
Recommended textbook:

The main parts of the course will follow:

A. Altland and B. Simons, Condensed Matter Field Theory,
Cambridge University Press, 2nd Edition, 2010.

Additional textbooks:

P. Coleman, Introduction to Many‐Body Physics, Online Monograph.

A.L. Fetter and J.D. Walecka, Quantum Theory of Many‐Particle Systems,
Dover Publications, 2003.

G.D. Mahan, Many‐Particle Physics, Springer, 2007.

J.W. Negele and H. Orland, Quantum Many‐Particle Systems,
Advanced Book Classics, 1998.

R. Shankar, Renormalization‐Group Approach to Interacting Fermions,
Rev. Mod. Phys. 66 (1994) 129.

Preconditions:
Quantum Mechanics and Statistical Mechanics.

Nuclear Theory is recommended, but not necessary.