Eur. Phys. J. C 18, 757-763
Spontaneous scale symmetry breaking in 2+1-dimensional QED at both zero and finite temperatureM.E. Carrington1, W.F. Chen2 and R. Kobes3
1 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
(Received: 17 August 2000 / Revised version: 24 November 2000 / Published online: 23 January 2001 -© Springer-Verlag 2001)
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