String model potentials and lattice gauge theories

Måns Flensburg and Carsten Peterson
String model potentials and lattice gauge theories
Nuclear Physics B283, 141-164 (1987)

Abstract:
The static potentials from bosonic string models are examined to the two-loop level. Available MC data for 4-dimensional SU(3) are in approximate agreement with the universal leading order predictions but fail to reproduce the Nambu string when the two-loop terms are included in the analysis. We also confront Nambu string model predictions for T_c/σ with SU(2), SU(3) and
SU( N → ∞) MC data. In the SU(2) case, impressive agreement is found both in 3 and 4 dimensions. In contrast, the data for SU(3) and SU( N → ∞) differ from the string model prediction. These theories have identical values for T_c/σ, indicating that N → ∞ is a good approximation to N = 3.

LU TP 87-02