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Phys. Rev. Lett. 60, 2575–2578 (1988)

Critical Behavior in (2+1)-Dimensional QED

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Thomas Appelquist and Daniel Nash
Physics Department, Yale University, New Haven, Connecticut 06511

L. C. R. Wijewardhana
Physics Department, University of Cincinnati, Cincinnati, Ohio 45221

Received 7 April 1988; published in the issue dated 20 June 1988

QED in 2+1 dimensions, analyzed in the 1/N expansion, is shown to exhibit a critical behavior as the number N of fermions approaches 32/π2. The dynamical mass has a universal scaling behavior at the critical point. The existence of criticality is discovered first by an analytic study of the gap equation and the effective potential. Its existence and universality is then confirmed numerically. Similarities to four-dimensional theories are discussed.

© 1988 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.60.2575
DOI:
10.1103/PhysRevLett.60.2575
PACS:
11.15.Pg, 11.15.Ex, 12.20.Ds