Instability in scalar channel of fermion-antifermion scattering amplitude in massless QED_3 and anomalous dimensions of composite operators

Abstract

Instability in the scalar channel of the fermion-antifermion scattering amplitude in massless QED_3 for number of flavours less than the critical value 128/3π^2 is demonstrated. The anomalous dimensions of gauge-invariant composite operators are determined to O(1/N). Exponentiation of the O(1/N) infrared logarithm is explicitly demonstrated by evaluating the contribution of the ladder diagrams.

arXiv comment10 pages, uses axodraw.sty; minor additions, version to appear in Mod. Phys. Lett. A

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Cited by in corpus (5)

• On the Phase Structure of Many-Flavor QED${}_3$
• Mass Renormalization in Lorentz-violating Scalar Field Theory
• Pauli-Term-Induced Fixed Points in $d$-dimensional QED
• Criterion for dynamical chiral symmetry breaking
• Spectral function in QED3