WILSON LOOP AND CONTOUR SHAPES

Abstract

By computing the Wilson loop expectation value W[C] in the two-dimensional Schwinger model on R1 x S1, we show that nonleading terms depend on the shape of the contours both on R1 x R1 and R1 x S1. We also find that the rhombic contour and triangular contour lead to the same static potentials both on R1 x R1 and R1 x S1. The binding energy is also affected by the choice of contour shapes on the R1 x S1 model. This indicates that the model on R1 x S1 deserves more study.