Non-perturbation methods to the Strongly Correlated Systems
Schedule (place): This course will be given in 2002.9-2003.1 （ZIMP Seminar Room) for graduate students.
This course is to provide for advanced graduate students who already familiar with current topics in modern condensed matter physics and have basic knowledge of quantum field theory The teacher will attempt to introduce the students various approaches and treatments concerning to the applications of low dimensional quantum field theory in modern condensed matter physics, particularly, the strongly correlated systems.
The main purpose of this course not only address the physical pictures/motivations of each sub-topics but also focus on the training of mathematical techniques to solve those problems.
Ch.1 One-dimensional quantum spin chain
Ch.2 Quantum field theory in 1+1 dimension
Ch.3 Strongly correlated electronic systems
Ch.4 Local electron correlation
Ch.5 Gauge theory of strongly correlated electron systems.
<<Quantum Field Theory in Strongly Correlated Electronic Systems>> by N. Nagaosa (Springer-Verlag 1999)
<<Bosonization and Strongly Correlated Systems>> by A. Gogolin, A. Nersesyan and A. Tsvelik (Cambridge 1998)
<<Field Theory of Condensed Matter Physics>> by E. Fradkin, (Addison-Wesley 1991)