Perturbative Algebraic Quantum Field Theory

Perturbative Algebraic Quantum Field Theory

An Introduction for Mathematicians

Rejzner, Kasia

Springer International Publishing AG

04/2018

180

Mole

Inglês

9783319798578

15 a 20 dias

454

Descrição não disponível.
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.- Kaehler 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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Batalin-Vilkoviski Formalism;Epstein-Glaser Method;Locally Covariant Quantum Field Theory;Algebraic Quantum Field Theory;Perturbative Quantum Field Theory;Gauge Theory;Mathematical Foundations of Quantum Field Theory;Theory of Scalar field;Quantum Field Theory on curved spacetimes;Effective quantum gravity