Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2004-10-05
Physical Review Letters 93 (2003) 267008
Physics
Condensed Matter
Disordered Systems and Neural Networks
4 pages, 2 figures, Revtex4, minor corrections
Scientific paper
10.1103/PhysRevLett.93.267008
We have developed a non-perturbative functional renormalization group approach for the random field O(N) model (RFO(N)M) that allows us to investigate the ordering transition in any dimension and for any value of N including the Ising case. We show that the failure of dimensional reduction and standard perturbation theory is due to the non-analytic nature of the zero-temperature fixed point controlling the critical behavior, non-analycity which is associated with the existence of many metastable states. We find that this non-analycity leads to critical exponents differing from the dimensional reduction prediction only below a critical dimension d\_c(N)<6, with d\_c(N=1)>3.
Tarjus Gilles
Tissier Matthieu
No associations
LandOfFree
Nonperturbative functional renormalization group for random field models: the way out of dimensional reduction does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Nonperturbative functional renormalization group for random field models: the way out of dimensional reduction, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Nonperturbative functional renormalization group for random field models: the way out of dimensional reduction will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-102472