English

The implications of noninertial motion on covariant quantum spin

High Energy Physics - Theory 2008-11-26 v3 General Relativity and Quantum Cosmology High Energy Physics - Phenomenology

Abstract

It is shown that the Pauli-Lubanski spin vector defined in terms of curvilinear co-ordinates does not satisfy Lorentz invariance for spin-1/2 particles in noninertial motion along a curved trajectory. The possibility of detecting this violation in muon decay experiments is explored, where the noninertial contribution to the decay rate becomes large for muon beams with large momenta and trajectories with radius of curvature approaching the muon's Compton wavelength scale. A new spacelike spin vector is derived from the Pauli-Lubanski vector that satisfies Lorentz invariance for both inertial and noninertial motion. In addition, this spin vector suggests a generalization for the classification of spin-1/2 particles, and has interesting properties that are applicable for both massive and massless particles.

Keywords

Cite

@article{arxiv.hep-th/0506156,
  title  = {The implications of noninertial motion on covariant quantum spin},
  author = {Dinesh Singh and Nader Mobed},
  journal= {arXiv preprint arXiv:hep-th/0506156},
  year   = {2008}
}

Comments

REVTeX file; 7 pages; 2 figures; slightly revised with new abstract; accepted for publication in Classical and Quantum Gravity