Comparing the Nambu-Goto string with LGT results

TL;DR

This paper evaluates the Nambu-Goto string model's predictions for the interquark potential by comparing theoretical results with Monte Carlo data across different temperature regimes in (2+1)D gauge theories, highlighting areas of agreement and mismatch.

Contribution

It provides a detailed comparison between Nambu-Goto string predictions and lattice gauge theory data, validating the model at high temperatures and identifying discrepancies at low temperatures for short distances.

Findings

Good agreement at high temperatures across various gauge theories.

Mismatch between theory and data at low temperatures for short interquark distances.

Validation of the Nambu-Goto model's predictions in certain regimes.

Abstract

We discuss a way to evaluate the full prediction for the interquark potential which is expected from the effective Nambu-Goto string model. We check the correctness of the prescription reproducing the results obtained with the zeta function regularization for the first two perturbative orders. We compare the predictions with existing Monte Carlo data for the (2+1) dimensional Z(2), SU(2) and SU(3) gauge theories: in the low temperature regime, we find good agreement for large enough interquark distances, but an increasing mismatch between theoretical predictions and numerical results is observed as shorter and shorter distances are investigated. On the contrary, at high temperatures (approaching the deconfinement transition from below) a remarkable agreement between Monte Carlo data and the expectations from the Nambu-Goto effective string is observed for a wide range of interquark distances.