On external backgrounds and linear potential in three dimensions

2005/01/18 by Patricio Gaete, Gaete, Patricio
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Quantum Chromodynamics and Particle Interactions #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/0501136

6 pages

arxiv created 2005/01/18 · openalex publication_date 2005/01/18 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

For a three-dimensional theory with a coupling ϕε^μνλ v_μF_νλ, where v_μ is an external constant background, we compute the interaction potential within the structure of the gauge-invariant but path-dependent variables formalism. While in the case of a purely timelike vector the static potential remains Coulombic, in the case of a purely spacelike vector the potential energy is the sum of a Bessel and a linear potentials, leading to the confinement of static charges. This result may be considered as another realization of the known Polyakov's result.

Citations

• The Principles of Quantum Mechanics

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