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

Abstract

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.

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

References in corpus (3)

• Weakly coupled one-dimensional Mott insulators
• Form factors of soliton-creating operators in the sine-Gordon model
• Four loop wave function renormalization in the non-abelian Thirring model

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