Title CPT invariance and the spin-statistics connection / Jonathan Bain

Published Oxford, UK : Oxford University Press, 2016

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Description 1 online resource Contents Cover; Acknowledgments; Contents; Introduction; Overview; 1 The CPT and Spin-Statistics Theorems in Relativistic Quantum Field Theories; 1.1 How to Represent CPT Invariance and the Spin-Statistics Connection; 1.1.1 Representing CPT Invariance in RQFTs; 1.1.2 Representing Spin and Statistics in RQFTs; 1.2 A Plethora of Approaches; 1.2.1 The Wightman Axiomatic Approach; 1.2.2 Weinberg's Approach; 1.2.3 The Lagrangian Approach; 1.2.4 The Algebraic Approach; 1.3 Comparison; 1.4 Pragmatism versus Purity; 1.4.1 Pragmatism and the Renormalization Problem; 1.4.2 Distinguishing Pragmatism from Purity 1.4.3 The Existence Problem1.5 Summary; 2 The Role of Relativity in the CPT and Spin-Statistics Theorems; 2.1 Relativity and Locality; 2.1.1 Local Commutativity; 2.1.2 Causality; 2.1.3 Cluster Decomposition; 2.2 Relativity and Geometric Modular Action; 2.2.1 Poincaré Covariance from Modular Data; 2.2.2 On the Fundamentality of Constraints on Modular Data; 2.3 Relativity and CPT Invariance; 2.3.1 An Influential But Puzzling Claim; 2.3.2 Greenberg's Argument; 2.4 Summary; 3 CPT Invariance and the Spin-Statistics Connection in Non-Relativistic Quantum Field Theories; 3.1 RQFTs versus NQFTs 3.2 A Plethora of Approaches to NQFTs3.2.1 Axiomatic NQFTs; 3.2.2 NQFTs in Weinberg's Approach; 3.2.3 Lagrangian NQFTs; 3.2.4 Algebraic NQFTs; 3.3 Intertheoretic Relations; 3.3.1 The Bronstein Hypercube; 3.3.2 The Speed-Space Contraction of the Poincaré Group; 3.3.3 A Kinematical Intertheoretic Relation; 3.4 Summary; 4 Non-RQFT Derivations of CPT Invariance and the Spin-Statistics Connection; 4.1 Non-Relativistic Quantum Mechanical Derivations of the Spin-Statistics Connection; 4.1.1 Configuration Space Approaches; 4.1.2 Sudarshan's Approach 4.2 Relativistic Classical Mechanical Derivations of CPT Invariance4.2.1 The Lagrangian Approach; 4.2.2 Prospects for Alternative Approaches; 4.3 Summary; 5 What Explains CPT Invariance and the Spin-Statistics Connection?; 5.1 Why CPT Invariance and the Spin-Statistics Connection Need Explanations; 5.2 The CPT and Spin-Statistics Theorems Do Not Explain CPT Invariance and the Spin-Statistics Connection; 5.2.1 The Deductive-Nomological Account; 5.2.2 The Unificationist Account; 5.2.3 Causal Accounts; 5.2.4 The Structural Account 5.3 What Would Explain CPT Invariance and the Spin-Statistics Connection?5.4 Summary; Conclusion; Appendix The Separating Corollary and the Axiomatic Proof of the Spin-Statistics Theorem; References; Index Summary This is a text on the philosophy of quantum field theory dealing with the question 'What explains CPT invariance and the spin-statistics connection?'. These properties play foundational roles in relativistic quantum field theories and figure into explanations of a wide range of phenomena, from antimatter, to the periodic table, to superfluids Bibliography Includes bibliographical references (pages 177-185) and index Subject Quantum field theory. Nuclear spin -- Statistical methods Coherence (Nuclear physics) Coherence (Nuclear physics) Nuclear spin -- Statistical methods Quantum field theory Form Electronic book ISBN 9780191795541 0191795542 0191044555 9780191044557

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