Perturbative algebraic quantum field theory : an introduction for mathematicians /
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| Format: | eBook |
| Language: | English |
| Published: |
Cham :
Springer,
[2016]
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| Series: | Mathematical physics studies.
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| Online Access: | Connect to the full text of this electronic book |
Table of Contents:
- 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.