Wave-functions for spin-3/2 and integer spin fields.
Presented at: 7th International Conference on Clifford Algebras and Their Applications, Univ Paul Sabatier, Toulouse, FRANCE.
Following the Bargmann-Wigner formalism, wave-functions for integer and spin-3/2 fields are constructed within geometric algebra. This is achieved through the multiparticle space-time algebra, where the number of copies of the space-time algebra corresponds to the number of spinor fields needed to construct the wave-function. However, this formalism breaks down if a gauge field is introduced. This is resolved by introducing a, symmetrised version of the covariant derivative, such that it obeys the Duffin-Kemmer algebra. Furthermore, new interesting results are found for the energy-momentum tensors.
|Type:||Conference item (UNSPECIFIED)|
|Title:||Wave-functions for spin-3/2 and integer spin fields|
|Event:||7th International Conference on Clifford Algebras and Their Applications|
|Location:||Univ Paul Sabatier, Toulouse, FRANCE|
|Dates:||19 May 2005 - 29 May 2005|
|Keywords:||geometric algebra, multiparticle quantum theory, Bargmann-Wigner equations, Duffin-Kemmer algebra, Dirac equation, Proca equations, Maxwell equations, Klein-Gordon equation, chiral symmetry, Rarita-Schwinger equations, energy-momentum tensor, SPACETIME ALGEBRA|
|UCL classification:||UCL > School of BEAMS > Faculty of the Built Environment
UCL > School of BEAMS > Faculty of the Built Environment > Centre for Advanced Spatial Analysis
Archive Staff Only