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I read in Zinn-Justin, that first order phase transitions always have a finite correlation length. Since correlation length is the inverse of the smallest physical mass within a model, this would mean that there can be no Goldstone bosons for a 1st order phase transition. How can that be? I mean massless Goldstone modes always apper, if a global continous symmetry is broken spontaneously??

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# Goldstone bosons 1st order phase transition

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