Structure functions at small x from worldlines: Unpolarized distributions

Tarasov, Andrey; Venugopalan, Raju

doi:10.1103/PhysRevD.100.054007

Title: Structure functions at small $x$ from worldlines: Unpolarized distributions

Journal Article · Tue Sep 10 00:00:00 EDT 2019 · Physical Review D

DOI:https://doi.org/10.1103/PhysRevD.100.054007· OSTI ID:1560902

Tarasov, Andrey; Venugopalan, Raju

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 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 $x$ .

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Research Organization:: Brookhaven National Laboratory (BNL), Upton, NY (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP)

Grant/Contract Number:: SC0012704

OSTI ID:: 1560902

Alternate ID(s):: OSTI ID: 1570678

Report Number(s):: BNL-212178-2019-JAAM; PRVDAQ; 054007

Journal Information:: Physical Review D, Journal Name: Physical Review D Vol. 100 Journal Issue: 5; ISSN 2470-0010

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 6 works

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