Structure functions at small x from world-lines. I: Unpolarized distributions

Abstract

The world-line representation of quantum field theory is a powerful framework for the computation of perturbative multi-leg Feynman amplitudes. In particular, in gauge theories, it provides an efficient way, via point particle Grassmann functional integrals, to compute spinor and color traces in these amplitudes. Further, semi-classical approximations to quantum mechanical world-line trajectories provide useful intuition in a wide range of dynamical problems. We develop here the world-line approach to compute deeply inelastic structure functions in the small x Regge limit of QCD. In particular, in a shockwave approximation valid in this limit, we show how one recovers the well-known dipole model for unpolarized structure functions. In a follow-up work, we will discuss the world-line computation of polarized structure functions at small x.

arXiv comment29 pages, 7 figures

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Cited by in corpus (9)

• Deeply inelastic scattering structure functions on a hybrid quantum computer
• The role of the chiral anomaly in polarized deeply inelastic scattering I: Finding the triangle graph inside the box diagram in Bjorken and Regge asymptotics
• The role of the chiral anomaly in polarized deeply inelastic scattering II: Topological screening and transitions from emergent axion-like dynamics
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• New Techniques for Worldline Integration
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• Low-energy multi-photon scattering at tree-level and one-loop order in a homogeneous electromagnetic field
• Worldline Modeling of Ultra-Intense Lasers for N-photon Scattering Processes