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  Are critical exponents below and above the critical point always the same?

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The scaling relations don't distinguish the critical exponents below and above the critical value. In the mean field level, I understand these critical exponents are the same whether one approaches the phase transition from the order phase or from the disorder phase. However, beyond the mean field treatment, are they always the same?

Are there examples that they can be different below and above the critical value? Or are there some theoretical arguments that the must be the same? Can anyone give me some hints or good reference?

asked Oct 10, 2014 in Theoretical Physics by hongchan (90 points) [ revision history ]
As far as I can tell, the critical exponents are the same for both side of the transition (in the exact calculation say), since the critical exponents label the universality class of the transition. Universality classes do not depend from where you approach the transition from my empirical experience... A good ref. on the subject is John Cardy's "Scaling and Renormalization in Stat. Phys." book.

This post imported from StackExchange Physics at 2014-10-11 09:49 (UTC), posted by SE-user VanillaSpinIce

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