Abstract
The gauge-invariant approach to the potential via the Wilson loop is generalized, replacing the static sources by the appropriate Dirac currents. The resulting expression is expanded with respect to l/m 2 and then brought into a suitable form. For the evaluation the only input we employ is the area law for large distances. This allows us to understand how the electric flux tube picture emerges in the case of moving quarks, and why magnetic terms do not contribute to spin-dependent corrections. The only surviving spin dependence is a spin-orbit term like that from a scalar potential, but with the opposite sign.
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Gromes, D. Relativistic corrections to the long-range quark antiquark potential electric flux tubes, and area law. Z. Phys. C - Particles and Fields 22, 265–270 (1984). https://doi.org/10.1007/BF01575791
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DOI: https://doi.org/10.1007/BF01575791