by Shau-Jin Chang (Univ. Illinois, Urbana-Champaign)

This book presents in a short volume the basics of quantum field theory and many body physics. The first part introduces the perturbative techniques without sophisticated apparatus and applies them to numerous problems including quantum electrodynamics (renormalization), Fermi and Bose gases, the Brueckner theory of nuclear system, liquid Helium and classical systems with noise. The material is clear, illustrative and the important points are stressed to help the reader get the understanding of what is crucial without overwhelming him with unnecessary detours or comments. The material in the second part ranges from variational principles to path integrals, discusses gauge theory, the renormalization group and classical solutions together with their applications.

• Field Quantizations
• Lorentz Transformation Properties
• Discrete Transformations
• Path Integral Formulation
• Gauge Theories
• Renormalization Theory
• Renormalization of Non-abelian Gauge Theories
• Renormalization Group
• Instanton
• Many Particle Systems and Field Theories
• Relativistic Free Field Theories
• Interactions Among Fields
• Feynman Diagrams and Cross Sections
• Quantum Electrodynamics
• Higher Order Processes
• Zero Temperature Fermi System
• The Electron Gas Model
• Bruekner Theory of Nuclear Matter
• Zero Temperature Bose System
• Liquid Helium-4
• Classical Systems with Noise