Gaussian field theories, random Cantor sets and multifractality

Details Gaussian field theories, random Cantor sets and multifractality Gaussian field theories, random Cantor sets and multifractality

1995-10-16

arxiv.org/abs/cond-mat/9510088v3

Phys.Rev.Lett. 77 (1996) 4194

Physics

Condensed Matter

Extensive modifications of previous version; exact results replace numerical calculations

Scientific paper

10.1103/PhysRevLett.77.4194

The computation of multifractal scaling properties associated with a critical field theory involves non-local operators and remains an open problem using conventional techniques of field theory. We propose a new description of Gaussian field theories in terms of random Cantor sets and show how universal multifractal scaling exponents can be calculated. We use this approach to characterize the multifractal critical wave function of Dirac fermions interacting with a random vector potential in two spatial dimensions. We show that the multifractal scaling exponents are self-averaging.

Affiliated with

Also associated with

No associations

Rating

Gaussian field theories, random Cantor sets and multifractality 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 Gaussian field theories, random Cantor sets and multifractality, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Gaussian field theories, random Cantor sets and multifractality will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-725211