English

Unstable Modes and Confinement in the Lattice Schr\"odinger Functional Approach

High Energy Physics - Lattice 2009-10-28 v1 High Energy Physics - Phenomenology High Energy Physics - Theory

Abstract

We analyze the problem of the Nielsen-Olesen unstable modes in the SU(2) lattice gauge theory by means of a recently introduced gauge-invariant effective action. We perform numerical simulations in the case of a constant Abelian chromomagnetic field. We find that for lattice sizes above a certain critical length the density of effective action shows a behaviour compatible with the presence of the unstable modes. We put out a possible relation between the dynamics of the unstable modes and the confinement.

Keywords

Cite

@article{arxiv.hep-lat/9610028,
  title  = {Unstable Modes and Confinement in the Lattice Schr\"odinger Functional Approach},
  author = {Paolo Cea and Leonardo Cosmai},
  journal= {arXiv preprint arXiv:hep-lat/9610028},
  year   = {2009}
}

Comments

15 pages, LaTeX2e file, 5 figures