Abstract
I examine the potential of a pointlike particle carrying SU (N c) charge in a gauge theory with a dilaton. The potential depends on boundary conditions imposed on the dilaton: For a dilaton that vanishes at infinity the resulting potential is a regulatized Coulomb potential of the form (r+r ϕ)−1, withr ϕ, inversely proportional to the decay constant of the dilaton. Another natural constraint on the dialaton ϕ is independence of (1/g 2) exp(ϕ/fϕ) from the gauge couplingg. This requirement yields a confining potential proportional tor.
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Dick, R. Potentials of pointlike particles in gauge theory with a dilaton. Int J Theor Phys 36, 2005–2012 (1997). https://doi.org/10.1007/BF02435956
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DOI: https://doi.org/10.1007/BF02435956