Computation of the static force in 1+ 1 dimensional SU (2) Yang Mills theory

The straight-forward way to compute a force is to take the derivative of the corresponding potential. This thesis explores an alternative way to compute the static force in 1+ 1 dimensional SU (2) Yang-Mills theory. The force is computed using a chromo-electric field correlator. Renormalization of colour fields, which is necessary in 3+ 1 dimensions, is discussed and explored numerically. The static force computed from the slope of the static potential does not need renormalization and can be compared with the bare and renormalized force computed from the chromo-electric field. A known renormalization for 3+ 1 dimensions is the Huntley-Michael method. For 1+ 1 dimensions it will be interesting to see, if renormalization is necessary and if one can apply the Huntley-Michael method. v