Instability in scalar channel of fermion-antifermion scattering amplitude in massless QED3 and anomalous dimensions of composite operators
Abstract
Instability in the scalar channel of the fermion-antifermion scattering amplitude in massless QED3 for number of flavours less than the critical value 128/3π2 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.
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