The purpose of this book is to give a systematic pedagogical exposition of the quantitative analysis of Wilson lines and gauge-invariant correlation functions in quantum chromodynamics. Using techniques from the previous volume (Wilson Lines in Quantum Field Theory, 2014), an ab initio methodology is developed and practical tools for its implementation are presented. Emphasis is put on the implications of gauge invariance and path-dependence properties of transverse-momentum dependent parton density functions. The latter are associated with the QCD factorization approach to semi-inclusive hadronic processes, studied at currently operating and planned experimental facilities.

Contents:

Introduction

Particle Number Operators in Quantum Mechanics and in Quantum Field Theory

Geometry of Quantum Field Theories

Basics of Wilson Lines in QCD

Gauge-Invariant Parton Densities

Simplifying Wilson Line Calculations

Brief Literature Guide

Conventions and Reference Formulae

Integrations

Bibliography

Index