Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2011-10-25
Physics
Condensed Matter
Statistical Mechanics
19 pages, 11 figures
Scientific paper
We apply the nonperturbative functional renormalization group (NP-FRG) in the superfield formalism that we have developed in the preceding paper to study long-standing issues concerning the critical behavior of the random field Ising model. Through the introduction of an appropriate regulator and a supersymmetry-compatible nonperturbative approximation, we are able to follow the supersymmetry, more specifically the superrotational invariance first unveiled by Parisi and Sourlas [Phys. Rev. Lett. 43, 744 (1979)], and its spontaneous breaking along the RG flow. Breaking occurs below a critical dimension dDR \simeq 5.1, and the supersymmetry-broken fixed point that controls the critical behavior then leads to a breakdown of the "dimensional reduction" property. We solve the NP-FRG flow equations numerically and determine the critical exponents as a function of dimension down to d < 3, with a good agreement in d = 3 and d = 4 with the existing numerical estimates.
Tarjus Gilles
Tissier Matthieu
No associations
LandOfFree
Nonperturbative Functional Renormalization Group for Random Field Models. IV: Supersymmetry and its spontaneous breaking 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. IV: Supersymmetry and its spontaneous breaking, 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. IV: Supersymmetry and its spontaneous breaking will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-94611