The mass gap and its applications / Vakhtang Gogokhia, Gergely Gabor Barnafoldi, Institute for Particle & Nuclear Physics, Wigner Research Centre for Physics, Hungarian Academy of Sciences, Hungary.

Format:

Book

Author/Creator:

Vakhtang, Gogokhia.

Barnafoldi, Gergely Gabor, author.

Series:

Gale eBooks.

Language:

English

Subjects (All):

Quantum chromodynamics.

Yang-Mills theory.

Physical Description:

1 online resource (xiv, 236 pages) : illustrations

Edition:

1st ed.

Place of Publication:

New Jersey : World Scientific, [2013]

Language Note:

English

Summary:

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 'mass gap', first suggested by Arthur Jaffe and Edward Witten at the turn of the millennium. It attempts to show that, to explain the

Contents:

Acknowledgments; Preface; Contents; Theory of the Mass Gap; 1. Quantum Chromodynamics and the Mass Gap; 1.1 Quantum Chromodynamics; 1.2 The Jaffe -Witten theorem on the Mass Gap; Problems; 2. Color Gauge Invariance and the Origin of the Mass Gap; 2.1 Introduction; 2.2 The gluon Schwinger -Dyson equation; 2.3 Transversality of the full gluon self-energy; 2.4 Slavnov -Taylor identity for the full gluon propagator; 2.5 The general structure of the full gluon propagator; 2.6 Non-perturbative vs. Perturbative QCD; 2.7 The Mass Gap; 2.8 Subtraction at the fundamental gluon propagator level

2.9 Discussion2.A Appendix: Application for Abelian case; Problems; 3. Formal Exact Solutions for the Full Gluon Propagator at Non-zero Mass Gap; 3.1 Introduction; 3.2 Singular solution; 3.3 Massive solution; 3.4 Conclusions; 3.A Appendix: The dimensional regularization method in the perturbation theory; 3.B Appendix: The dimensional regularization method in the distribution theory; Problems; 4. Renormalization of the Mass Gap; 4.1 Introduction; 4.2 The intrinsically non-perturbative gluon propagator; 4.3 Confining gluon propagator; 4.4 The renormalized running effective charge

4.5 The general criterion of gluon confinement4.6 The general criterion of quark confinement; 4.7 The general criterion of dynamical/spontaneous breakdown of chiral symmetry; 4.8 Physical limits; 4.9 Asymptotic freedom and the mass gap; 4.A Appendix: The Weierstrass - Sokhatsky -Casorati theorem; Problems; 5. General Discussion; 5.1 Discussion; 5.2 Subtractions; 5.3 Conclusions; Applications of the Mass Gap; 6. Vacuum Energy Density in the Quantum Yang -Mills Theory; 6.1 Introduction; 6.2 The vacuum energy density; 6.3 The intrinsically non-perturbative vacuum energy density

6.4 The bag constant6.5 Analytical and numerical evaluation of the bag constant; 6.6 The trace anomaly relation; 6.7 Comparison with phenomenology; 6.8 Numerical values for BYM in different units; 6.9 Contribution of BYM to the dark energy problem; 6.10 Energy from the QCD vacuum; 6.11 Conclusions; 6.A Appendix: The general role of ghosts; Problems; 7. The Non-perturbative Analytical Equation of State for the Gluon Matter I; 7.1 Introduction; 7.2 The gluon pressure at zero temperature; 7.3 The gluon pressure at non-zero temperature; 7.4 The scale-setting scheme; 7.5 The PNP (T ) contribution

7.6 Conclusions7.A Appendix: The summation of the thermal logarithms; Problems; 8. The Non-perturbative Analytical Equation of State for the Gluon Matter II; 8.1 Introduction; 8.2 Analytic thermal perturbation theory; 8.3 Convergence of the perturbation theory series; 8.4 The gluon pressure, Pg(T ); 8.5 Low-temperature expansion; 8.6 High-temperature expansion; 8.7 Discussion and conclusions; Problems; 9. The Non-perturbative Analytical Equation of State for SU(3) Gluon Plasma; 9.1 Introduction; 9.2 The gluon pressure Pg(T ); 9.3 The full gluon plasma pressure

9.4 Main thermodynamic quantities

Notes:

Description based upon print version of record.

Includes bibliographical references and index.

Description based on publisher supplied metadata and other sources.

ISBN:

9789814440714

981444071X

OCLC:

842909482