English

Affine Particles and Fields

General Relativity and Quantum Cosmology 2007-05-23 v1

Abstract

The covering of the affine symmetry group, a semidirect product of translations and special linear transformations, in D3D \geq 3 dimensional spacetime is considered. Infinite dimensional spinorial representations on states and fields are presented. A Dirac-like affine equation, with infinite matrices generalizing the γ\gamma matrices, is constructed.

Keywords

Cite

@article{arxiv.gr-qc/0505067,
  title  = {Affine Particles and Fields},
  author = {Djordje Sijacki},
  journal= {arXiv preprint arXiv:gr-qc/0505067},
  year   = {2007}
}