Numerical study on schramm-loewner evolution in nonminimal conformal field theories. Picco, M. & Santachiara, R. Physical Review Letters, 100(1):4, jan, 2007.
Numerical study on schramm-loewner evolution in nonminimal conformal field theories. [link]Paper  doi  abstract   bibtex   
The Schramm-Loewner evolution (SLE) is a powerful tool to describe fractal interfaces in 2D critical statistical systems. Yet the application of SLE is well established for statistical systems described by quantum field theories satisfying only conformal invariance, the so called minimal conformal field theories (CFTs). We consider interfaces in Z(N) spin models at their self-dual critical point for N=4 and N=5. These lattice models are described in the continuum limit by non-minimal CFTs where the role of a ZN symmetry, in addition to the conformal one, should be taken into account. We provide numerical results on the fractal dimension of the interfaces which are SLE candidates for non-minimal CFTs. Our results are in excellent agreement with some recent theoretical predictions.
@article{Picco2007,
abstract = {The Schramm-Loewner evolution (SLE) is a powerful tool to describe fractal interfaces in 2D critical statistical systems. Yet the application of SLE is well established for statistical systems described by quantum field theories satisfying only conformal invariance, the so called minimal conformal field theories (CFTs). We consider interfaces in Z(N) spin models at their self-dual critical point for N=4 and N=5. These lattice models are described in the continuum limit by non-minimal CFTs where the role of a ZN symmetry, in addition to the conformal one, should be taken into account. We provide numerical results on the fractal dimension of the interfaces which are SLE candidates for non-minimal CFTs. Our results are in excellent agreement with some recent theoretical predictions.},
archivePrefix = {arXiv},
arxivId = {0708.4295},
author = {Picco, Marco and Santachiara, Raoul},
doi = {10.1103/PhysRevLett.100.015704},
eprint = {0708.4295},
file = {:Users/marco/Library/Application Support/Mendeley Desktop/Downloaded/Picco, Santachiara - 2007 - Numerical study on schramm-loewner evolution in nonminimal conformal field theories(3).pdf:pdf},
institution = {LPTHE, Universit{\'{e}} Pierre et Marie Curie-Paris6, 4 Place Jussieu, 75005 Paris, France. picco@lpthe.jussieu.fr},
issn = {0031-9007},
journal = {Physical Review Letters},
month = {jan},
number = {1},
pages = {4},
title = {{Numerical study on schramm-loewner evolution in nonminimal conformal field theories.}},
url = {http://arxiv.org/abs/0708.4295 http://link.aps.org/doi/10.1103/PhysRevLett.100.015704},
volume = {100},
year = {2007}
}

Downloads: 0