English

Effective mass of W-boson in a magnetic field

High Energy Physics - Phenomenology 2013-09-20 v2

Abstract

Simple representation for the average value of the W-boson one-loop polarization tensor in a magnetic field B=const, calculated in the ground state of the tree-level spectrum, is derived. It corresponds to Demeur's formula for electron in QED. The energy of this state, describing effective particle mass, is computed by solving the Schwinger-Dyson equation. As application, we investigate the effective mass squared at the threshold of the tree-level instability, BBc=m2/eB \to B_c = m^2/e, and show that it is positive. In this way the stability of the W-boson spectrum is established. Some peculiarities of the results obtained and other applications are discussed.

Keywords

Cite

@article{arxiv.1204.0121,
  title  = {Effective mass of W-boson in a magnetic field},
  author = {V. V. Skalozub},
  journal= {arXiv preprint arXiv:1204.0121},
  year   = {2013}
}

Comments

12 pages, 2 figures