%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 }