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book: Parton Densities in Quantum Chromodynamics
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Parton Densities in Quantum Chromodynamics

Gauge invariance, path-dependence and Wilson lines
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Language: English
Published/Copyright: 2017
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De Gruyter Studies in Mathematical Physics

About this book

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

Author / Editor information

Igor Cherednikov and Frederik F. Van der Veken, University of Antwerp, Belgium.

Topics

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    Frontmatter

    I
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    Preface

    V
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    Contents

    IX
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    1. Introduction

    1
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    2. Particle Number Operators in Quantum Mechanics and in Quantum Field Theory

    5
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    3. Geometry of Quantum Field Theories

    33
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    4. Basics of Wilson Lines in QCD

    49
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    5. Gauge-Invariant Parton Densities

    91
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    6. Simplifying Wilson Line Calculations

    129
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    A. Brief Literature Guide

    163
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    B. Conventions and Reference Formulae

    164
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    C. Integrations

    184
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    Bibliography

    201
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    Index

    211
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Publishing information
Pages and Images/Illustrations in book
eBook published on:
November 21, 2016
eBook ISBN:
9783110430608
Hardcover published on:
November 21, 2016
Hardcover ISBN:
9783110439397
Pages and Images/Illustrations in book
Front matter:
12
Main content:
213
Illustrations:
70
Coloured Illustrations:
6
https://doi.org/10.1515/9783110430608
eBook ISBN: 9783110430608
Hardcover ISBN: 9783110439397
Keywords for this book
Wilson lines and loops; QCD factorization; gauge-invariance; transverse-momentum dependence; parton density functions; perturbative calculations in QCD.
Audience(s) for this book
Researchers and advanced students in theoretical particle physics.
Safety & product resources
Manufacturer information:
Walter de Gruyter GmbH
Genthiner Straße 13
10785 Berlin
productsafety@degruyterbrill.com
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