On Finite Interquark Potential in D=3 Driven by a Minimal Length

الملخص EN

We address the effect of a quantum gravity induced minimal length on a physical observable for three-dimensional Yang-Mills.

Our calculation is done within stationary perturbation theory.

Interestingly enough, we find an ultraviolet finite interaction energy, which contains a regularized logarithmic function and a linear confining potential.

This result highlights the role played by the new quantum of length in our discussion.