Progress and visions in quantum theory in view of gravity bridging foundations of physics and mathematics /: bridging foundations of physics and mathematics. (2020)

• Record Type: Book
• Further Information: Note: Felix Finster, Domenico Giulini, Johannes Kleiner, Jürgen Tolksdorf, editors.
• Other Names: Finster, Felix; Giulini, D (Domenico), 1959-; Kleiner, Johannes; Tolksdorf, Jürgen
• Contents: Intro -- Preface -- Contents -- Algebraic Quantum Field Theory -- 1 Introduction -- 2 Algebraic Quantum Mechanics -- 2.1 Postulates of Quantum Mechanics -- 2.2 Algebraic Approach -- 2.3 States and Representations -- 3 Case Study: The van Hove Model -- 4 Algebraic QFT -- 4.1 Basic Requirements -- 4.2 Examples -- 4.2.1 Free Real Scalar Field -- 4.2.2 Real Scalar Field with External Source (van Hove Encore) -- 4.2.3 Weyl Algebra -- 4.2.4 Complex Scalar Field -- 4.2.5 Dirac Field -- 4.3 Quasifree States for the Free Scalar Field -- 4.3.1 Examples 5 The Spectrum Condition and Reeh-Schlieder Theorem -- 5.1 The Spectrum Condition -- 5.2 The Reeh-Schlieder Theorem -- 6 Local von Neumann Algebras and Their Universal Type -- 7 The Split Property -- 8 Superselection Sectors -- 8.1 Representations of Interest in Particle Physics -- 8.2 Localized Endomorphisms -- 8.3 Intertwiners and Permutation Symmetry -- 9 Conclusions -- Appendix 1: Some Basic Functional Analysis -- Appendix 2: Construction of an Algebra from Generators and Relations -- Appendix 3: Fock Space -- References Causal Fermion Systems: An Elementary Introduction to Physical Ideas and Mathematical Concepts -- 1 Unifying Quantum Field Theory and General Relativity -- 2 Overview of Concepts and Mathematical Structures in Theoretical Physics -- 2.1 The Fabric of Spacetime -- 2.1.1 Topological Manifolds as Models of Spacetime -- 2.1.2 Establishing Smooth Structures in Spacetime -- 2.1.3 Encoding the Lorentzian Geometry of Spacetime -- 2.2 The Einstein Field Equations -- 2.3 Quantum Theory in a Classical Spacetime -- 2.4 Incompatibility of General Relativity and Quantum Field Theory 4 Modelling a Lorentzian Spacetime by a Causal Fermion System -- 4.1 General Construction in Curved Spacetimes -- 4.2 Physical Significance of the Regularization Operator -- 4.3 Concrete Example: The Minkowski Vacuum -- 5 Results of the Theory and Further Reading -- References -- Quantum Spacetime and the Renormalization Group: Progress and Visions -- 1 Introduction -- 2 Functional Renormalization Group: Brief Overview -- 3 The Asymptotic Safety Scenario for Quantum Gravity -- 4 Background-Independent Renormalization Group Flows
• Publisher Details: Cham : Birkhäuser
• Publication Date: 2020
• Extent: 1 online resource (302 p.)
• Subjects: 531/.14; Quantum gravity; Mathematical physics; Relativity physics; Science -- Mathematical Physics; Science -- Relativity; Quantum gravity; Electronic books
• Languages: English
• ISBNs: 9783030389413; 3030389413
• Related ISBNs: 9783030389406
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.