Fermion Schwinger's function for the SU(2)-Thirring model

Details Fermion Schwinger's function for the SU(2)-Thirring model Fermion Schwinger's function for the SU(2)-Thirring model

2002-03-14

arxiv.org/abs/hep-th/0203135v2

Nucl.Phys. B644 (2002) 451-475

Physics

High Energy Physics

High Energy Physics - Theory

27 pages, harvmac.tex, references added, typos corrected

Scientific paper

10.1016/S0550-3213(02)00795-2

We study the Euclidean two-point function of Fermi fields in the SU(2)-Thirring model on the whole distance (energy) scale. We perform perturbative and renormalization group analyses to obtain the short-distance asymptotics, and numerically evaluate the long-distance behavior by using the form factor expansion. Our results illustrate the use of bosonization and conformal perturbation theory in the renormalization group analysis of a fermionic theory, and numerically confirm the validity of the form factor expansion in the case of the SU(2)-Thirring model.

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