Course Renormalization Group and Critical Phenomena

This is an introductory course on Renormalization Group and Critical Phenomena.

• Classical Theories
• Power Laws and Homogeneity Laws
• Wilson Renormalization
• Z-factors and β-functions
• Exact Flow equation
• Fermionic Renormalization

• Klassische Theorien / Classical Theories
  Potenzgesetze / Power Laws
  Homogenitätsgesetze und Renormierung / Homogeneity Laws and Renormalization
  Wilson Renormierung / Wilson Renormalization
  Trivialer Fixpunkt / Trivial Fixed Point
  Nicht-trivialer Fixpunkt / Non-trivial Fixed Point
  Pfadintegrale für klassische Felder / Path Integrals for Classical Fields
  Konventionelle Renormierung (neue Gl. 14.41)
  Konventionelle Renormierung (Ende)
  Exakte Renormierungsgruppe
  
• The following sections of my scripts on Statistical Mechanics and Solid State Theory are first introductions to this field.
  For details on the Van der Waals gas I will refer to section 34 of Statistical Mechanics
  For Weiss molecular field theory I will refer to section 35 of Statistical Mechanics or section 26 of Solid State Physics.
  For Landau Theory I will refer to section 36 of Statistical Mechanics or section 26 of Solid State Theory.

• From the script on Statistical Mechanics:
  34 Van der Waals Gleichung/Van der Waals Equation
  35 Weiss-sche Molekularfeld-Näherung/Weiss Molecular Field Approximation
  36 Landau-Theorie der Phasenübergäge/Landau Theory of Phase Transitions
  
• From the script on Solid State Theory:
  26 Molekularfeld-Näherung/Molecular Field Approximation
  27 Homogenitäts- und Skalengesetze/Homogeneity and Scaling Laws
  28 Renormierungsgruppe/Renormalization Group
  29 Renormierungsgruppe mit scharfem Abschneide-Impuls/Renormalization Group with Sharp Momentum Cut-off
  30 Pfadintegrale für klassische Felder