Monte Carlo Renormalization Group

In 1976, Ma1 made the suggestion of combining Monte Carlo (MC) computer simulations with a real-space renormalization-group (RG) analysis to calculate critical exponents at second-order phase transitions. Since then, numerous authors2–14 have presented various ways of implementing Ma's idea to produce a useful theoretical tool. In these lectures, I will discuss a particular Monte Carlo renormalization-group (MCRG) method that I and several coworkers have been using.7–14 The method is still in the early stages of development, but it has a number of advantages over older methods, and has already produced excellent results for some systems of interest.

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[21]  Shang-keng Ma.  Alternative approach to the dynamic renormalization group , 1979 .

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