Unstable Modes and Confinement in the Lattice Schrödinger Functional Approach

Details Unstable Modes and Confinement in the Lattice Schrödinger Functional Approach Unstable Modes and Confinement in the Lattice Schrödinger Functional Approach

1996-10-21

arxiv.org/abs/hep-lat/9610028v1

Mod.Phys.Lett. A13 (1998) 861-872

Physics

High Energy Physics

High Energy Physics - Lattice

15 pages, LaTeX2e file, 5 figures

Scientific paper

10.1142/S0217732398000930

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.

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