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

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

2006-01-10

arxiv.org/abs/hep-th/0601058v3

Mod.Phys.Lett.A22:297-306,2007

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1142/S0217732307020981

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.

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