A multidisciplinary approach to quantum field theory. Volume 2, Advanced topics /

Quantum field theory is the theory of many-particle quantum systems. Just as quantum mechanics describes a single particle as both a particle and a wave, quantum field theory describes many-particle systems in terms of both particles and fields.

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Ogilvie, Michael, 1953- (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Bristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK) : IOP Publishing, [2022]
Colección:IOP (Series). Release 22.
IOP ebooks. 2022 collection.
Temas:
Quantum field theory.
Particle & high-energy physics.
SCIENCE / Physics / Quantum Theory.
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 1. Gauge theories
  • 1.1. Introduction to quantum electrodynamics
  • 1.2. Abelian gauge invariance
  • 1.3. Perturbative calculations at tree level in QED
  • 1.4. Renormalization of QED
  • 1.5. Compact Lie groups
  • 1.6. Non-Abelian gauge theories
  • 1.7. The Faddeev-Popov ansatz and gauge fixing for non-Abelian gauge theories
  • 1.8. The geometry of gauge fields
  • 1.9. Gauge fields compared to gravity
  • 1.10. The Feynman rules for non-Abelian gauge theories
  • 1.11. The Higgs mechanism
  • 2. The renormalization group
  • 2.1. Introduction
  • 2.2. The Ising model
  • 2.3. The order parameter and Landau theory
  • 2.4. Critical exponents
  • 2.5. The real-space renormalization group
  • 2.6. Euclidean field theory
  • 2.7. Derivation of the renormalization group equations : [phi]4
  • 2.8. The Wilson-Fisher fixed point
  • 2.9. The effective action
  • 2.10. Background field method for scalar field theories
  • 2.11. The background field method for gauge theories
  • Appendix. Simulation and the Metropolis algorithm
  • 3. The 1/N expansion
  • 3.1. Introduction
  • 3.2. Quantum mechanics
  • 3.3. Vector models in quantum mechanics
  • 3.4. Vector models in quantum field theory
  • 3.5. Matrix models in the large-N limit
  • 4. Solitons and instantons
  • 4.1. Introduction
  • 4.2. The [phi]4 kink in 1 + 1 dimensions
  • 4.3. Flux tubes
  • 4.4. Magnetic monopoles
  • 4.5. Instantons
  • 4.6. False vacuum decay
  • 5. Anomalies
  • 5.1. Introduction
  • 5.2. Path integral treatment of anomalies
  • 5.3. Anomaly cancellation in gauge theories
  • 5.4. The [eta][prime] problem and the U(1)A anomaly in QCD
  • 6. Field theory at nonzero temperature
  • 6.1. Introduction
  • 6.2. Partition functions and path integrals
  • 6.3. Free fields and Matsubara frequencies
  • 6.4. Evaluation of the T [not equal to] 0 scalar field effective potential
  • 6.5. Symmetry restoration
  • 6.6. Running couplings
  • 6.7. Fermions
  • 6.8. Equilibration in field theories.

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