CPT groups of higher spin fields

Abstract

$CPT$ groups of higher spin fields are defined in the framework of automorphism groups of Clifford algebras associated with the complex representations of the proper orthochronous Lorentz group. Higher spin fields are understood as the fields on the Poincaré group which describe orientable (extended) objects. A general method for construction of $CPT$ groups of the fields of any spin is given. $CPT$ groups of the fields of spin-1/2, spin-1 and spin-3/2 are considered in detail. $CPT$ groups of the fields of tensor type are discussed. It is shown that tensor fields correspond to particles of the same spin with different masses.

30 pages

References in corpus (11)

• Quantum field theory without divergences
• Field on Poincare group and quantum description of orientable objects
• Three-qubit entangled embeddings of CPT and Dirac groups within E8 Weyl group
• Group Theoretical Interpretation of the CPT-theorem
• Quantum Physics, Relativity, and Complex Spacetime: Towards a New Synthesis
• Classification of quantum relativistic orientable objects
• The CPT Group in the de Sitter Space
• General Solutions of Relativistic Wave Equations
• Charge Conjugation from Space-Time Inversion
• Irreducible representations of the CPT groups in QED
• The CPT group of the spin-3/2 field

Cited by in corpus (10)

• Continuous Wavelet Transform in Quantum Field Theory
• Spinor Structure and Internal Symmetries
• Higher spin quaternion waves in the Klein-Gordon theory
• Spinor Structure and Matter Spectrum
• Lorentz group and mass spectrum of elementary particles
• Wavelet regularization of gauge theories
• Conformal relativity with hypercomplex variables
• The CPT group of the spin-3/2 field
• On algebraic structure of matter spectrum
• Spinor Structure and Modulo 8 Periodicity