Instability in scalar channel of fermion-antifermion scattering amplitude in massless $QED_{3}$ and anomalous dimensions of composite operators

Instability in the scalar channel of the fermion-antifermion scattering amplitude in massless QED_3 for number of flavours less than the critical value 128/3\pi^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.

11.15.-q
Anomalous dimension
dynamical breaking of chiral symmetry
massless QED3
quantum electrodynamics: massless
dimension: 3
fermion: flavor
expansion 1/N
correlation function
perturbation theory: higher-order

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Instability in scalar channel of fermion-antifermion scattering amplitude in massless QED3QED_{3}QED3​ and anomalous dimensions of composite operators

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Instability in scalar channel of fermion-antifermion scattering amplitude in massless $QED_{3}$ and anomalous dimensions of composite operators