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Physics

Mathematics & Science

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Quantum Chromodynamics (QCD) is the most up-to-date theory of the strong interaction. Its predictions have been verified experimentally, and it is a cornerstone of the Standard Model of particle physics. However, standard perturbative procedures fail if applied to low-energy QCD. Even the discovery of the Higgs Boson will not solve the problem of masses originating from the non-perturbative behavior of QCD.This book presents a new method, the introduction of the &#x2018;mass gap&#x2019;, first suggested by Arthur Jaffe and Edward Witten at the turn of the millennium. It attempts to show that, to explain the mass-spectrum of QCD, one needs the mass scale parameter (the mass gap) instead of other massive particles. The energy difference between the lowest order and the vacuum state in Yang-Mills quantum field theory, the mass gap is in principle responsible for the large-scale structure of the QCD ground state, and thus also for its non-perturbative phenomena at low energies. This book not only presents the mass gap, but also details the applications and outlook of the mass gap method. A detailed summary of references and problems are included as well.This book is best for scientists and highly advanced students interested in non-perturbative effects and methods in QCD.

Mass Gap And Its Applications, The

POST SECONDARY FOUR YEAR

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THE MASS GAP AND ITS APPLICATIONS

Duration

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Front Cover.
Half Title Page.
Title Page.
Copyright Page.
Dedication.
Preface.
Acknowledgments.
Contents.
1: Theory of the Mass Gap.
2: Quantum Chromodynamics and the Mass Gap.
3: Color Gauge Invariance and the Origin of the Mass Gap.
4: Formal Exact Solutions for the Full Gluon Propagator at Non-Zero Mass Gap.
5: Renormalization of the Mass Gap.
6: General Discussion.
7: Applications of the Mass Gap.
8: Vacuum Energy Density in the Quantum Yang &#x2013; Mills Theory.
9: The Non-Perturbative Analytical Equation of State for the Gluon Matter I.
10: The Non-Perturbative Analytical Equation of State for the Gluon Matter II.
11: The Non-Perturbative Analytical Equation of State for SU(3) Gluon Plasma.
Bibliography.
Index.

Mass Gap And Its Applications, The.css-1p8rvzy{position:absolute;padding-left:8px;}

Mass Gap And Its Applications, The