The static hybrid potential in D dimensions at short distances

Understand

We compute the energy of a static hybrid, i.e.

• of a hybrid quarkonium with static quark and antiquark, at short distances in D=4,3 dimensions.
• The soft contribution to this energy is the static potential of a color octet quark-antiquark pair at short distances, which is known at two loops for arbitrary D.
• We have checked this expression employing thermal field theory methods.