Abstract
It is by now well established that renormalization group techniques provide a very powerful tool for the study of models in Statistical mechanics. These ideas were first introduced to study the problem of phase transitions, but they have proven to be useful in many other contexts like the high temperature phase in constructive quantum field theory, dynamical systems, turbulence, etc... The main difficulty in a renormalization group analysis is to derive the renormalization transformation (sometimes called the renormalization group for historical reasons). This is sometimes so difficult that one has to abandon the idea of using the simple general scheme which needs a lot of informations about this transformation. Migdal and Kadanoff tried to develop a general technique of approximation, the main idea being to obtain a tool to study gauge invariant Problems. One of the advantage of their approximation is that the renormalization transformation can be written explicitly. This is very convenient for numerical and theoretical considerations (see for example [4]). Unfortunately, it is very difficult to appreciate the quality of the approximation.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
