This review gives an introduction into problems, concepts and techniques when quantizing matter fields near black holes. The first part focuses on quantum fields in general curved space-times. The second part is devoted to a detailed treatment of the Unruh effect in uniformly accelerated frames and the Hawking radiation of black holes.
A simple introduction into the renormalization group (RG) in quantum field theory and an overview of the renormalization group method. The third section is devoted to essential topics of the renorm-group use in the QFT.
These notes review the effective lagrangian treatment of Goldstone and pseudo-Goldstone bosons, taking examples from high-energy/nuclear and condensed-matter physics.
A brief review on the progress made in the study of Chern-Simons gauge theory since its relation to knot theory was discovered ten years ago is presented.
An elementary introduction to the recent solution of supersymmetric Yang-Mills theory. In addition, review of how it can be re-derived from string duality.