I am a graduate student in mathematics working in probability (without a very good background in physics honestly) and I've started to see arguments based on computations derived from the replica trick. I understand that it is non-rigorous but it appears that a decent number of the solutions one obtains using this trick can be made rigorous by other (often fairly involved) methods. I would like to work on developing a better heuristic approach to problems, so I would like to understand when I can reasonably expect this type of argument to give reasonably accurate predictions. Perhaps more importantly for me, is there a nice characterization of physical situations when it is clear that this trick should fail?


Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Browse other questions tagged or ask your own question.