English

BPS String Solutions in Non-Abelian Yang-Mills Theories and Confinement

High Energy Physics - Theory 2009-11-07 v3 High Energy Physics - Lattice High Energy Physics - Phenomenology

Abstract

Starting from the bosonic part of N=2 Super QCD with a 'Seiberg-Witten' N=2 breaking mass term, we obtain string BPS conditions for arbitrary semi-simple gauge groups. We show that the vacuum structure is compatible with a symmetry breaking scheme which allows the existence of Z_k-strings and which has Spin(10) -> SU(5) x Z_2 as a particular case. We obtain BPS Z_k-string solutions and show that they satisfy the same first order differential equations as the BPS string for the U(1) case. We also show that the string tension is constant, which may cause a confining potential between monopoles increasing linearly with their distance.

Keywords

Cite

@article{arxiv.hep-th/0104171,
  title  = {BPS String Solutions in Non-Abelian Yang-Mills Theories and Confinement},
  author = {Marco A. C. Kneipp and Patrick Brockill},
  journal= {arXiv preprint arXiv:hep-th/0104171},
  year   = {2009}
}

Comments

11 pages, Latex. Minor changes to the text. Final version to appear in Phys. Rev. D

R2 v1 2026-07-22T15:03:42.317Z