Perturbative Algebraic Quantum Field Theory An Introduction for Mathematicians /

• Κύριος συγγραφέας: Rejzner, Kasia (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2016.
• Έκδοση: 1st ed. 2016.
• Σειρά: Mathematical Physics Studies,
• Θέματα: Physics.; Algebra.; Field theory (Physics).; Mathematical physics.; Quantum field theory.; String theory.; Quantum Field Theories, String Theory.; Mathematical Physics.; Field Theory and Polynomials.

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 theories a...

Πίνακας περιεχομένων:

• 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.