THE PIN GROUPS IN PHYSICS: C, P AND T

DOI10.1142/S0129055X01000922zbMath1029.81034arXivmath-ph/0012006MaRDI QIDQ4418303

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Publication date: 7 August 2003

Published in: Reviews in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0012006

zbMATH Keywords

full Lorentz group

Mathematics Subject Classification ID

Relativistic cosmology (83F05) Applications of Lie groups to the sciences; explicit representations (22E70) Research exposition (monographs, survey articles) pertaining to statistical mechanics (82-02) Spinor and twistor methods applied to problems in quantum theory (81R25) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Spin and Spin({}^c) geometry (53C27)

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Cites Work

• On charge conjugation
• Dirac and Majorana spinors on non-orientable Riemann surfaces
• On the obstructions to non-Cliffordian pin structures
• Chern numbers, quaternions, and Berry's phases in Fermi systems
• Clifford modules
• Some Consequences of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>TCP</mml:mi></mml:math>-Invariance
• Connection between Local Commutativity and Regularity of Wightman Functions
• On the phase factors in inversions
• Derivation of the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>CPT</mml:mi></mml:math>Theorem and the Connection between Spin and Statistics from Postulates of the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>S</mml:mi></mml:math>-Matrix Theory
• Spinor fields in four dimensional space-time
• Spinors in n Dimensions
• A judgement on sinors
• Obstructions to pin structures on Kleinian manifolds
• Electromagnetic and weak interactions
• Local Field Theory and Isospin Invariance. I. Free-Field Theory of Spinless Bosons
• Teoria simmetrica dell’elettrone e del positrone
• Reflection Properties of Spin ½ Fields and a Universal Fermi-Type Interaction
• The Intrinsic Parity of Elementary Particles
• Selection rules imposed by charge conjugation
• Über Eigenschaften von Ausbreitungsfunktionen und Renormierungskonstanten quantisierter Felder

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