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English Intern
    Theoretische Physik III

    Feldtheoretische Aspekte der Festkörperphysik

    Vorlesung "Feldtheoretische Aspekte der Festkörperphysik"

    Prof. Dr. Johanna Erdmenger

    Vorlesungszeiten:

    Dienstags        10 - 12 Uhr,  SE 5
    Donnerstags   10 - 12 Uhr,  SE 5

    Übung:

    während der Vorlesungszeit alle 14 Tage

    Lecture Notes:

    Karl Landsteiner: Notes on Anomaly Induced Transport
    https://arxiv.org/pdf/1610.04413.pdf

    G. V. Dunne: Aspects of Chern-Simons theory
    https://arxiv.org/abs/hep-th/9902115

    Themen

    I. Introduction

    II. Quantum Field Theory Concepts

    a) Quantization of Free Fields

    b) Path Integral

    c) Interactions

    d) Examples: phi^4 theory, fermions, gauge fields

    e) Renormalization

    f) Renormalization group

    g) Ward Identities

    h) Quantum Anomalies


    III. Applications I

    a) Axial anomaly in 2, 4 and 3 dimensions

    b) Dirac and Weyl semimetals

    c) Berry phase

    d) Topological insulators


    IV.  Applications II

    a) Hydrodynamics

    b) Hydrodynamics for electrons in solids


    V. Strongly correlated systems

    a) Introduction to AdS/CFT

    b) Quantum critical systems

    c) Strange metals


    VI. Defects and Kondo models

    a) Kondo's original approach

    b) CFT analysis

    c) Holographic models
     

    Literatur


    1. M. Peskin and D. Schroeder: An introduction to Quantum Field Theory. CRC Press.
    2. A. Zee: Quantum Field Theory in a Nutshell. Princeton University Press.
    3. A Tsvelik: Quantum Field Theory in Condensed Matter Physics. Second edition. Cambridge University Press.
    4. A. Altland and B. Simons: Condensed matter field theory. Second edition. Cambridge University Press.
    5. E. Fradkin, Field Theories of Condensed Matter Physics, Cambridge University Press.

    Skripte:

    Übungsblätter:

    1. Übungsblatt
    2. Übungsblatt