We present numerical results for non-compact three-dimensional QED for
numbers of flavors N\_f=1 and N\_f=4.In particular, we address the issue of
whether chiral symmetry is spontaneously broken in the continuum limit, and
obtain a positive answer for N\_f=1, with a dimensionless condensate estimated
to be beta^2<psibarpsi> \~= O(10^-3), implying that the critical number of
flavors N\_fc>1. We also compare the N\_f=1 and N\_f=4 models by analysing the
transition from strong to weak coupling behaviour using an equation of state
based on a continuous phase transition. While some qualitative differences
emerge, it appears difficult to determine whether N\_f=4 lies above or below
N\_fc.
%0 Journal Article
%1 Hands2004NonCompact
%A Hands, S. J.
%A Kogut, J. B.
%A Scorzato, L.
%A Strouthos, C. G.
%D 2004
%J Physical Review B
%K qed
%N 10
%R 10.1103/physrevb.70.104501
%T Non-Compact QED\_3 with N\_f=1 and N\_f=4
%U http://dx.doi.org/10.1103/physrevb.70.104501
%V 70
%X We present numerical results for non-compact three-dimensional QED for
numbers of flavors N\_f=1 and N\_f=4.In particular, we address the issue of
whether chiral symmetry is spontaneously broken in the continuum limit, and
obtain a positive answer for N\_f=1, with a dimensionless condensate estimated
to be beta^2<psibarpsi> \~= O(10^-3), implying that the critical number of
flavors N\_fc>1. We also compare the N\_f=1 and N\_f=4 models by analysing the
transition from strong to weak coupling behaviour using an equation of state
based on a continuous phase transition. While some qualitative differences
emerge, it appears difficult to determine whether N\_f=4 lies above or below
N\_fc.
@article{Hands2004NonCompact,
abstract = {{We present numerical results for non-compact three-dimensional QED for
numbers of flavors N\_f=1 and N\_f=4.In particular, we address the issue of
whether chiral symmetry is spontaneously broken in the continuum limit, and
obtain a positive answer for N\_f=1, with a dimensionless condensate estimated
to be beta^2\<psibarpsi\> \~{}= O(10^-3), implying that the critical number of
flavors N\_fc\>1. We also compare the N\_f=1 and N\_f=4 models by analysing the
transition from strong to weak coupling behaviour using an equation of state
based on a continuous phase transition. While some qualitative differences
emerge, it appears difficult to determine whether N\_f=4 lies above or below
N\_fc.}},
added-at = {2019-02-23T22:09:48.000+0100},
archiveprefix = {arXiv},
author = {Hands, S. J. and Kogut, J. B. and Scorzato, L. and Strouthos, C. G.},
biburl = {https://www.bibsonomy.org/bibtex/2d8e3ea3d6f2fcee2421abfbed5a75791/cmcneile},
citeulike-article-id = {12438204},
citeulike-linkout-0 = {http://arxiv.org/abs/hep-lat/0404013},
citeulike-linkout-1 = {http://arxiv.org/pdf/hep-lat/0404013},
citeulike-linkout-2 = {http://dx.doi.org/10.1103/physrevb.70.104501},
day = 16,
doi = {10.1103/physrevb.70.104501},
eprint = {hep-lat/0404013},
interhash = {af818f11d68120e4052905ddcdb124e2},
intrahash = {d8e3ea3d6f2fcee2421abfbed5a75791},
issn = {1098-0121},
journal = {Physical Review B},
keywords = {qed},
month = apr,
number = 10,
posted-at = {2013-06-19 09:21:00},
priority = {2},
timestamp = {2019-02-23T22:15:27.000+0100},
title = {{Non-Compact QED\_3 with N\_f=1 and N\_f=4}},
url = {http://dx.doi.org/10.1103/physrevb.70.104501},
volume = 70,
year = 2004
}