We present our numerical study of three-dimensional QED with 2, 4, 6 and 8
flavors of massless two-component fermions using a parity-preserving lattice
regularization with Wilson fermions. We study the behavior of low-lying
eigenvalues of the massless improved Wilson-Dirac operator as a function of
three-dimensional physical volume, after taking the continuum limit at fixed
physical volumes. We find the following evidences against the presence of
bilinear condensate: the eigenvalues do not scale as the inverse of the
three-dimensional physical volume, and the number variance associated with
these eigenvalues do not exhibit ergodic behavior. The inverse participation
ratio (IPR) of the associated eigenvectors exhibits a multi-fractal volume
scaling. The relation satisfied by number variance and IPR suggests critical
behavior.
Description
No evidence for bilinear condensate in parity-invariant three-dimensional QED with massless fermions
%0 Generic
%1 karthik2015evidence
%A Karthik, Nikhil
%A Narayanan, Rajamani
%D 2015
%K BSM
%R 10.1103/PhysRevD.93.045020
%T No evidence for bilinear condensate in parity-invariant
three-dimensional QED with massless fermions
%U http://arxiv.org/abs/1512.02993
%X We present our numerical study of three-dimensional QED with 2, 4, 6 and 8
flavors of massless two-component fermions using a parity-preserving lattice
regularization with Wilson fermions. We study the behavior of low-lying
eigenvalues of the massless improved Wilson-Dirac operator as a function of
three-dimensional physical volume, after taking the continuum limit at fixed
physical volumes. We find the following evidences against the presence of
bilinear condensate: the eigenvalues do not scale as the inverse of the
three-dimensional physical volume, and the number variance associated with
these eigenvalues do not exhibit ergodic behavior. The inverse participation
ratio (IPR) of the associated eigenvectors exhibits a multi-fractal volume
scaling. The relation satisfied by number variance and IPR suggests critical
behavior.
@misc{karthik2015evidence,
abstract = {We present our numerical study of three-dimensional QED with 2, 4, 6 and 8
flavors of massless two-component fermions using a parity-preserving lattice
regularization with Wilson fermions. We study the behavior of low-lying
eigenvalues of the massless improved Wilson-Dirac operator as a function of
three-dimensional physical volume, after taking the continuum limit at fixed
physical volumes. We find the following evidences against the presence of
bilinear condensate: the eigenvalues do not scale as the inverse of the
three-dimensional physical volume, and the number variance associated with
these eigenvalues do not exhibit ergodic behavior. The inverse participation
ratio (IPR) of the associated eigenvectors exhibits a multi-fractal volume
scaling. The relation satisfied by number variance and IPR suggests critical
behavior.},
added-at = {2023-07-16T22:08:06.000+0200},
author = {Karthik, Nikhil and Narayanan, Rajamani},
biburl = {https://www.bibsonomy.org/bibtex/2edb9407a63c93cc13cddc2f1fd852812/cmcneile},
description = {No evidence for bilinear condensate in parity-invariant three-dimensional QED with massless fermions},
doi = {10.1103/PhysRevD.93.045020},
interhash = {449d0bcda9c941cfb1158489b77f9f92},
intrahash = {edb9407a63c93cc13cddc2f1fd852812},
keywords = {BSM},
note = {cite arxiv:1512.02993Comment: version to be published in Phys. Rev. D},
timestamp = {2023-07-16T22:08:06.000+0200},
title = {No evidence for bilinear condensate in parity-invariant
three-dimensional QED with massless fermions},
url = {http://arxiv.org/abs/1512.02993},
year = 2015
}