Relativistic corrections to the quark-antiquark potential from the effective string theory

Abstract

We use the complete expression for the O(1/m^2) corrections to the quark-antiquark potential derived from QCD in terms of Wilson loop expectation values, and a mapping, valid at large distances, between those Wilson loop expectation values and correlators evaluated in the effective string theory, to compute all O(1/m^2) potentials at large distances. In particular, we present previously unknown results for the spin-independent part of the potential and confirm known results for the spin and momentum dependent parts. Finally, we calculate the relativistic corrections induced by the newly calculated potentials to the string spectrum.