The Coulomb potential in gauge theory with a dilaton

1997/01/31 by Rainer Dick · 1 citation
Mathematics · Physics and Astronomy · #Quantum Chromodynamics and Particle Interactions #Quantum and Classical Electrodynamics #Spectral Theory in Mathematical Physics #hep-ph #hep-th

paper · pdf · doi:10.1016/s0370-2693(97)00191-3

published as Phys.Lett. B397 (1997) 193-196 · 7 pages, LaTex, uses amssymb. A note and a reference added

arxiv created 1997/02/17 · openalex publication_date 1997/04/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

I calculate the potential of a pointlike particle carrying SU(N_c) charge in a gauge theory with a dilaton. The solution depends on boundary conditions imposed on the dilaton: For a dilaton that vanishes at infinity the resulting potential is of the form (r+r_ϕ)^-1, with r_ϕ inverse proportional to the decay constant of the dilaton. Another natural constraint for the dilaton ϕ is independence of (1)/(g²)exp(\fracϕf_ϕ) from the gauge coupling g. This requirement yields a potential proportional to r and makes it impossible to create an isolated SU(N_c) charge.

Citations

• Dyon-monopole bound states, self-dual harmonic forms on the multi-monopole moduli space, and SL (2,Z) invariance in string theory

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