- #1
tirrel
- 50
- 0
Ehi u... It’s a lot of time since visited this site for the first time ... unluckily I haven’t got much time to enter: I hope I’ll have time in the future...
Anyway I’ve got a problem... I’m studying fase transitions from an elementary point of view and in particular the mean field approximation of the ising model...
I know that the critical indices calculated from this model should be correct in D>4, where D is the spatial dimension of the model. I also know that the modern approach to the calculation of the critical indeces is through field theory and the renormalization group. I’ve tried to learn something about these topics from the book of Cardy but I couldn’t find a proof that these indices are correct in D>4 using this modern approach. I’ve understood that D<4 is a mess, but very few about D>=4.
Does anyone know the logic steps necessary to verify the validity of mean field using this modern approaches ? (I want them to be used!)
Anyway I’ve got a problem... I’m studying fase transitions from an elementary point of view and in particular the mean field approximation of the ising model...
I know that the critical indices calculated from this model should be correct in D>4, where D is the spatial dimension of the model. I also know that the modern approach to the calculation of the critical indeces is through field theory and the renormalization group. I’ve tried to learn something about these topics from the book of Cardy but I couldn’t find a proof that these indices are correct in D>4 using this modern approach. I’ve understood that D<4 is a mess, but very few about D>=4.
Does anyone know the logic steps necessary to verify the validity of mean field using this modern approaches ? (I want them to be used!)