說明 
1 online resource (252 pages) 

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附註 
Intro  Contents  Preface  Acknowledgments  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 selfenergy  2.4 Slavnov Taylor identity for the full gluon propagator  2.5 The general structure of the full gluon propagator  2.6 Nonperturbative vs. Perturbative QCD  2.7 The Mass Gap  2.8 Subtraction at the fundamental gluon propagator level  2.9 Discussion  2.A Appendix: Application for Abelian case  Problems  3. Formal Exact Solutions for the Full Gluon Propagator at Nonzero 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 nonperturbative gluon propagator  4.3 Confining gluon propagator  4.4 The renormalized running effective charge  4.5 The general criterion of gluon confinement  4.6 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 nonperturbative vacuum energy density 

6.4 The bag constant  6.5 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 Nonperturbative 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 nonzero temperature  7.4 The scalesetting scheme  7.5 The PNP (T ) contribution  7.6 Conclusions  7.A Appendix: The summation of the thermal logarithms  Problems  8. The Nonperturbative 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 Lowtemperature expansion  8.6 Hightemperature expansion  8.7 Discussion and conclusions  Problems  9. The Nonperturbative 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  9.5 The Stefan Boltzmann limit  9.6 Analytical formulae for the gluon plasma thermodynamic quantities  9.7 Doublecounting in integer powers of s problem  9.8 Numerical results and discussion  9.9 The dynamical structure of SU(3) gluon plasma  9.10 Conclusions  9.A Appendix: Analytical and numerical evaluation of the latent heat  9.B Appendix: The function for the confining effective charge at nonzero temperature  9.C Appendix: Least Mean Squares method and the definition of the average deviation  9.D Appendix: Restoration of the lattice pressure below 0.9Tc  Problems 

Bibliography  Index 

Quantum Chromodynamics (QCD) is the most uptodate 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 lowenergy QCD. Even the discovery of the Higgs Boson will not solve the problem of masses originating from the nonperturbative 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 massspectrum 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 YangMills quantum field theory, the mass gap is in principle responsible for the largescale structure of the QCD ground state, and thus also for its nonperturbative 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 nonperturbative effects and methods in QCD 

Description based on publisher supplied metadata and other sources 

Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2020. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries 
鏈接 
Print version: Gogokhia, Vakhtang Mass Gap And Its Applications, The
Singapore : World Scientific Publishing Company,c2013 9789814440707

主題 
YangMills theory.;Quantum chromodynamics


Electronic books

Alt Author 
Barnafoldi, Gergely Gabor

