On the calculation of hadron form factors from Euclidean Dyson-Schwinger equations

Abstract

We apply Euclidean time methods to phenomenological Dyson-Schwinger models of hadrons. By performing a Fourier transform of the momentum space correlation function to Euclidean time and by taking the large Euclidean time limit, we project onto the lightest on-mass-shell hadron for given quantum numbers. The procedure, which actually resembles lattice gauge theory methods, allows the extraction of moments of structure functions, moments of light-cone wave functions and form factors without `ad hoc' extrapolations to the on-mass-shell points. We demonstrate the practicality of the procedure with the example of the pion form factor.

12 pages, 3 postscript figures

References in corpus (6)

• Confinement and complex singularities in QED3
• Electromagnetic Form Factors of Charged and Neutral Kaons
• Continuum study of deconfinement at finite temperature
• Solving the Bethe-Salpeter Equation for Scalar Theories in Minkowski Space
• Model gluon propagator and pion and rho-meson observables
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• Mesons as qbar-q Bound States from Euclidean 2-Point Correlators in the Bethe-Salpeter Approach
• Decay constants of the pion and B mesons with the Bethe-Salpeter equation
• A Euclidean bridge to the relativistic constituent quark model
• Dynamical symmetry breaking, confinement with flat-bottom potential
• 2004 Review of Light Cone Field Theory
• MarKov-Yukawa Transversality On Covariant Null Plane: Pion Form Factor, Gauge Invariance And Lorentz Completion