The Coulomb potential in gauge theory with a dilaton

Details The Coulomb potential in gauge theory with a dilaton The Coulomb potential in gauge theory with a dilaton

1997-01-13

arxiv.org/abs/hep-th/9701047v2

Phys.Lett. B397 (1997) 193-196

Physics

High Energy Physics

High Energy Physics - Theory

7 pages, LaTex, uses amssymb. A note and a reference added

Scientific paper

10.1016/S0370-2693(97)00191-3

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 $(r+r_\phi)^{-1}$, with $r_\phi$ inverse proportional to the decay constant of the dilaton. Another natural constraint for the dilaton $\phi$ is independence of $\frac{1}{g^2}\exp(\frac{\phi}{f_\phi})$ 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.

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