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Structure functions at small x from world-lines. I: Unpolarized distributions
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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.
Forward citations
Cited by 3 Pith papers
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The role of the chiral anomaly in polarized deeply inelastic scattering III: Wess-Zumino-Witten contributions and chiral Ward identities for finite quark mass
A worldline computation shows the QED anomaly-pole cancellation by the PVV triangle does not extend to QCD, and the eta-prime mechanism yields only a few percent finite-mass correction to the Shore-Veneziano relation ...
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Deeply inelastic scattering structure functions on a hybrid quantum computer
A worldline representation of the QCD quark determinant is used to write a quantum circuit that computes F2 in a small-x dipole model, with a road map for generalizing to real-time DIS.
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Worldline Modeling of Ultra-Intense Lasers for N-photon Scattering Processes
Compact worldline 'master formulae' for arbitrary-N photon scattering in strong-field backgrounds are presented, but the derivations are largely deferred to the authors' own prior and companion papers.
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