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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 |
|---|---|
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
World Scientific
2001.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- 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.