Eur. Phys. J. C 18, 757-763
DOI: 10.1007/s100520100563
Spontaneous scale symmetry breaking in 2+1-dimensional QED at both zero and finite temperature
M.E. Carrington1, W.F. Chen2 and R. Kobes31 Department of Physics, Brandon University, Brandon, Manitoba, R7A 6A9 Canada
2 Department of Mathematics and Statistics, University of Guelph, Guelph, Ontario, N1G 2W1, Canada
3 Department of Physics, University of Winnipeg, Winnipeg, Manitoba, R3B 2E9 Canada
meg@theory.uwinnipeg.ca
wchen@msnet.mathstat.uoguelph.ca
randy@theory.uwinnipeg.ca
(Received: 17 August 2000 / Revised version: 24 November 2000 / Published online: 23 January 2001 -© Springer-Verlag 2001)
Abstract
A complete analysis of dynamical scale symmetry breaking
in 2+1-dimensional QED at both zero and finite temperature is presented
by looking at solutions to
the Schwinger-Dyson equation. In different kinetic energy regimes
we use various numerical and analytic techniques (including an expansion
in large flavour number). It is confirmed that, contrary to the case of
3+1 dimensions, there is no dynamical scale symmetry breaking at
zero temperature, despite the fact that chiral symmetry breaking can
occur dynamically. At finite temperature,
such breaking of scale symmetry may take place.
© Società Italiana di Fisica, Springer-Verlag 2001