XXVIII International Workshop on Deep Inelastic Scattering and Related Subjects

Structure functions at small x from worldlines: polarized distributions

24 Mar 2020, 15:24

18m

Brooklyn, NY

Invited Talk Small-x, Diffraction and Vector Mesons Joint Session: WG2+WG5

Speaker

Andrey Tarasov (The Ohio State University)

Description

The worldline 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. In my talk I will give a short introduction into the worldline formalism and show how it can be applied to the problem of computation of the polarized deeply inelastic structure function $g_1$ in the small x Regge limit of QCD. In particular, in a shockwave approximation valid in this limit, I will show how one can derive a polarized dipole model. I will discuss computation of sub-eikonal corrections which give rise to the quark and gluon operators of the model and introduce a generalization of the standard McLerran-Venugopalan (MV) model which represents the spin structure of hadrons at small-x.