Perturbative algebraic quantum field theory : an introduction for mathematicians /

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Perturbative Algebraic Quantum Field Theory (pAQFT), the subject of this book, is a complete and mathematically rigorous treatment of perturbative quantum field theory (pQFT) that doesn't require the use of divergent quantities. We discuss in detail the examples of scalar fields and gauge theor...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Rejzner, Kasia (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cham : Springer, [2016]
Colección:Mathematical physics studies.
Temas:
Quantum field theory.
Théorie quantique des champs.
Mathematical physics.
Algebra.
Statistical physics.
SCIENCE > Energy.
SCIENCE > Mechanics > General.
SCIENCE > Physics > General.
Quantum field theory
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Introduction
  • Algebraic approach to quantum theory
  • Algebraic quantum mechanics
  • Causality
  • Haag-Kastler axioms
  • pAQFT axioms
  • LCQFT
  • Kinematical structure
  • The space of field configurations
  • Functionals on the configuration space
  • Fermionic field configurations
  • Vector fields
  • Functorial interpretation
  • Classical theory
  • Dynamics
  • Natural Lagrangians
  • Homological characterization of the solution space
  • The net of topological Poisson algabras
  • Analogy with classical mechanics
  • Deformation quantization
  • Star products
  • The star product on the space of multivector fields
  • Kähler structure
  • Interaction
  • Outline of the approach
  • Scatering matrix and time ordered products
  • Renormalization group
  • Interacting local nets
  • Explicit construction
  • Gauge theories
  • Classical gauge theory
  • Gauge-fixing
  • BV formalism
  • Effective quantum gravity
  • From LCQFT to quantum gravity
  • Dynamics and symmetries
  • Linearized theory
  • Quantization
  • Relational observables
  • Background independence.

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