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Parton Densities in Quantum Chromodynamics

Parton Densities in Quantum Chromodynamics
Author: Igor Olegovich Cherednikov
Publisher: Walter de Gruyter GmbH & Co KG
Total Pages: 225
Release: 2016-11-21
Genre: Science
ISBN: 3110430681

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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


Quantum Chromodynamics at High Energy

Quantum Chromodynamics at High Energy
Author: Yuri V. Kovchegov
Publisher: Cambridge University Press
Total Pages: 351
Release: 2023-01-31
Genre: Science
ISBN: 1009291416

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This 2012 volume, now OA, is dedicated to high energy quantum chromodynamics including parton saturation and the color glass condensate.


Analysis of Unintegrated Parton Distributions in Quantum Chromodynamics

Analysis of Unintegrated Parton Distributions in Quantum Chromodynamics
Author: Edgar Elias
Publisher:
Total Pages:
Release: 2017
Genre:
ISBN:

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The Large Hadron Collider at CERN is currently the most powerful particle collider. It collides protons at the center of mass energy of 13 TeV. At such high energies parton densities in both protons are extremely high. This leads to the enhanced probability for multi-parton interactions. These are events in which more than one partonic interaction occurs per one nucleon collision. The multi-parton interactions, which are characterized by a hard scale, can be described in QCD by means of double parton distributions. In this thesis we propose a construction of the double unintegrated parton distribution functions which, in addition to the longitudinal momentum fractions, include the dependence on the transverse momenta of partons. To this aim, we extend the formalism that was used previously for the single unintegrated parton distribution functions. Starting from the homogeneous part of the equation for the integrated double parton distribution function, we construct the double unintegrated parton distribution functions which are the convolutions of the integrated parton densities and the Sudakov form factor. We present first numerical studies of these distributions. In particular, double unintegrated parton density functions are studied as a function of the transverse momenta for fixed scales and fixed values of the longitudinal momentum fractions. We also discuss the numerical methods used for the calculation of these double unintegrated parton distribution functions.


Foundations of Perturbative QCD

Foundations of Perturbative QCD
Author: John Collins
Publisher: Cambridge University Press
Total Pages: 637
Release: 2011-04-28
Genre: Science
ISBN: 1139500627

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Giving an accurate account of the concepts, theorems and their justification, this book is a systematic treatment of perturbative QCD. It relates the concepts to experimental data, giving strong motivations for the methods. Ideal for graduate students starting their work in high-energy physics, it will also interest experienced researchers.


Deep Inelastic Scattering

Deep Inelastic Scattering
Author: Robin Devenish
Publisher: OUP Oxford
Total Pages: 418
Release: 2011-04-28
Genre: Science
ISBN: 0191621951

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This book provides an up-to-date, self-contained account of deep inelastic scattering in high-energy physics, intended for graduate students and physicists new to the subject. It covers the classic results which led to the quark-parton model of hadrons and the establishment of quantum chromodynamics as the theory of the strong nuclear force, in addition to new vistas in the subject opened up by the electron-proton collider HERA. The extraction of parton momentum distribution functions, a key input for physics at hadron colliders such as the Tevatron at Fermi Lab and the Large Hadron Collider at CERN, is described in detail. The challenges of the HERA data at 'low x' are described and possible explanations in terms of gluon dynamics and other models outlined. Other chapters cover: jet production at large momentum transfer and the determination of the strong coupling constant, electroweak interactions at very high momentum transfers, the extension of deep inelastic techniques to include hadronic probes, a summary of fully polarised inelastic scattering and the spin structure of the nucleon, and finally a brief account of methods in searching for signals 'beyond the standard model'.


The Development of Perturbative QCD

The Development of Perturbative QCD
Author: G. Altarelli
Publisher: World Scientific
Total Pages: 372
Release: 1994
Genre: Science
ISBN: 9789810217037

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This book consists of a collection of carefully selected review papers and lecture notes written by the author on Perturbative Quantum Chromodynamics (PQCD) and its experimental tests. A leading authority who has contributed significantly to the development of PQCD for more than 20 years, the author has selected articles on the basis of their present interest. These articles cover different aspects of the subject without unnecessary duplication and are accompanied by commentaries. Also, original material, specially written for this book, has been added to integrate and update the results and their presentation. Hence, more than providing a historical perspective on the subject, this volume also serves well as an authoritative guidebook on Perturbative QCD.


Foundations of Perturbative QCD

Foundations of Perturbative QCD
Author: John Clements Collins
Publisher:
Total Pages: 0
Release: 2023
Genre: Quantum chromodynamics
ISBN: 9781009401845

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Quantum Chromodynamics and the Pomeron

Quantum Chromodynamics and the Pomeron
Author: J. R. Forshaw
Publisher: Cambridge University Press
Total Pages: 268
Release: 1997-06-05
Genre: Science
ISBN: 0521568803

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This volume describes the Pomeron, an object of crucial importance in very high energy particle physics. The book starts with a general description of the Pomeron within the framework of Regge theory. The emergence of the Pomeron within scalar field theory is discussed next, providing a natural foundation on which to develop the more realistic case of QCD. The reggeization of the gluon is demonstrated and used to build the Pomeron of perturbative QCD. The dynamical nature of the Pomeron is then investigated. The role of the Pomeron in small-x deep inelastic scattering and in diffractive scattering is also examined in detail. The volume concludes with a study of the colour dipole approach to high energy scattering and the explicit role of unitarity corrections. This book will be of interest to theoretical and experimental particle physicists, and applied mathematicians.


QCD Perspectives on Hot and Dense Matter

QCD Perspectives on Hot and Dense Matter
Author: Jean-Paul Blaizot
Publisher: Springer
Total Pages: 522
Release:
Genre: Science
ISBN: 9789401002684

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Many facets of quantum chromodynamics (QCD) are relevant to the in-depth discussion of theoretical and experimental aspects of high-energy nucleus-nucleus collisions. Exciting phenomena are being discovered in such ultrarelativistic heavy ion collisions, notably the increasingly important role of deconfined quark-gluon matter created in the early stage. The book contains lectures on the physics of hot dense matter, the expected phase transitions and colour superconductivity, recent developments in the treatment of nonlinear effects at large parton densities, fundamental issues in the phenomenology of ultrarelativistic heavy collisions. The latest data on heavy ion collisions are also presented. A unique collection of lectures on the many facets of QCD relevant to the physics of hot dense matter.


Quantum Chromodynamics

Quantum Chromodynamics
Author: Walter Greiner
Publisher: Springer Science & Business Media
Total Pages: 576
Release: 2002
Genre: Science
ISBN: 9783540666103

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This is a self-contained introduction to perturbative and nonperturbative quantum chromodynamics. Relativistic quantum field theory is recapitulated and scattering theory is discussed in the framework of scalar quantum electrodynamics. Then the gauge theory of quarks and gluons is introduced, before moving on to an advanced discussion of perturbative and nonperturbative techniques in state-of-the-art QCD.