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Lectures on Quantum Chromodynamics.
Quantum chromodynamics is the fundamental theory of strong interactions. It is a physical theory describing nature. This book concentrates, however, not on the phenomenological aspect of QCD; books with comprehensive coverage of phenomenological issues have been written. What the reader will find in...
| Clasificación: | Libro Electrónico |
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| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
World Scientific
2001.
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| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 520 | |a Quantum chromodynamics is the fundamental theory of strong interactions. It is a physical theory describing nature. This book concentrates, however, not on the phenomenological aspect of QCD; books with comprehensive coverage of phenomenological issues have been written. What the reader will find in this book is a profound discussion on the theoretical foundations of QCD with emphasis on the nonperturbative formulation of the theory: what is gauge symmetry on the classical and on the quantum level? What is the path integral in field theory? How to define the path integral on the lattice, keeping intact as many symmetries of the continuum theory as possible? What is the QCD vacuum state? What is the effective low energy dynamics of QCD? How do the ITEP sum rules work? What happens if we heat and/or squeeze hadronic matter? Perturbative issues are also discussed: how to calculate Feynman graphs? What is the BRST symmetry? What is the meaning of the renormalization procedure? How to resum infrared and collinear singularities? And so on. The book is an outgrowth of the course of lectures given by the author for graduate students at ITEP in Moscow. Much extra material has been added. | ||
| 505 | 0 | |a pt. 1. Foundations. Lecture 1. Yang-Mills field. 1.1. Path ordered exponentials. Invariant actions. 1.2. Classical solutions -- Lecture 2. Instantons. 2.1. Topological charge. 2.2. Explicit solutions -- Lecture 3. Path integral in quantum mechanics. 3.1. Conventional approach. 3.2. Euclidean path integral. 3.3. Holomorphic representation. 3.4. Grassmann dynamic variables -- Lecture 4. Quantization of gauge theories. 4.1. Dirac quantization procedure. 4.2. Path integral on the lattice -- Lecture 5. [symbol]-vacuum. 5.1. Quantum pendulum. 5.2. Large gauge transformations in non-Abelian theory -- pt. 2. Perturbation theory. Lecture 6. Diagram technique in simple and complicated theories. 6.1. Feynman rules from path integral. 6.2. Fixing the gauge -- Lecture 7. When the gauge is fixed. 7.1. Gribov copies. 7.2. Ward identities. 7.3. Ghosts and unitarity. 7.4. BRST quantization -- Lecture 8. Regularization and renormalization. 8.1. Different regularization schemes. 8.2. Renormalized theory as an effective theory. Slavnov-Taylor identities -- Lecture 9. Running coupling constant. 9.1. One-loop calculations. 9.2. Renormalization group. Asymptotic freedom and infrared slavery. 9.3. Observables. Ambiguities. Anomalous dimensions -- Lecture 10. Weathering infrared storms. 10.1. Bloch-Nordsieck cancellation. 10.2. Non-Abelian complications. Coherent states -- Lecture 11. Collinear singularities: theory and phenomenology. 11.1. Double logarithmic asymptotics. 11.2. Jet cross sections. 11.3. DIS and KLN -- pt. 3. Nonperturbative QVD. Lecture 12. Symmetries: anomalous and not. 12.1. Conformal symmetry and its breaking. 12.2. Anomalous chiral symmetry. 12.3. Nonsinglet chiral symmetry and its spontaneous breaking. 12.4. Effective chiral Langrangian -- Lecture 13. Quarks on Euclidean lattice. 13.1. Nielsen-Ninomiya's no-go theorem. 13.2. Ways to go. The Ginsparg-Wilson way -- Lecture 14. Aspects of chiral symmetry. 14.1. QCD inequalities. Vafa-Witten theorem. 14.2. Euclidean Dirac spectral density. 14.3. Infrared face of anomaly. 14.4. Chiral symmetry breaking and confinement -- Lecture 15. Mesoscopic QCD. 15.1. Partition function: N[symbol]=1. 15.2. Partition function: N[symbol]2. 15.3. Spectral sum rules. 15.4. Instanton gas and instanton liquid -- Lecture 16. Fairy QCD. 16.1. Finite [symbol]. 16.2. Large Nc -- Lecture 17. ITEP sum rules: the duality festival. 17.1. The method. 17.2. Nucleon mass and residue. 17.3. Pion formfactor and nucleon magnetic moments -- Lecture 18. Hot and dense QCD. 18.1. Lukewarm pion gas. Restoration of chiral symmetry. 18.2. Quark-gluon plasma. 18.3. Finite Baryon density. Color superconductivity -- Lecture 19. Confinement. 19.1. Weak confinement and strong confinement. Wilson criterium. 19.2. Schwinger model. 19.3. Polyakov model. 19.4. Dual superconductivity. | |
| 504 | |a Includes bibliographical references (pages 315-317) and index. | ||
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Particles (Nuclear physics) | |
| 650 | 0 | |a Quantum chromodynamics. | |
| 650 | 2 | |a Elementary Particles | |
| 650 | 6 | |a Particules (Physique nucléaire) | |
| 650 | 6 | |a Chromodynamique quantique. | |
| 650 | 7 | |a particle physics. |2 aat | |
| 650 | 7 | |a Particles (Nuclear physics) |2 fast | |
| 650 | 7 | |a Quantum chromodynamics |2 fast | |
| 720 | |a Smilga, Andrei. | ||
| 758 | |i has work: |a Lectures on quantum chromodynamics (Text) |1 https://id.oclc.org/worldcat/entity/E39PCGCb4d6GjXhpX3r43CJVYP |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |t Lectures on Quantum Chromodynamics. |d World Scientific 2001 |w (DLC) 2002278967 |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=1681624 |z Texto completo |
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