On the effective string spectrum of the tridimensional Z(2) gauge model

Abstract

We study the Z(2) lattice gauge theory in three dimensions, and present high precision estimates for the first few energy levels of the string spectrum. These results are obtained from new numerical data for the two-point Polyakov loop correlation function, which is measured in the 3d Ising spin system using duality. This allows us to perform a stringent comparison with the predictions of effective string models. We find a remarkable agreement between the numerical estimates and the Nambu-Goto predictions for the energy gaps at intermediate and large distances. The precision of our data allows to distinguish clearly between the predictions of the full Nambu-Goto action and the simple free string model up to an interquark distance $r\approx 10/\sqrt{\sigma }$. At the same time, our results also confirm the breakdown of the effective picture at short distances, supporting the hypothesis that terms which are not taken into account in the usual Nambu-Goto string formulation yield a non-trivial shift to the energy levels. Furthermore, we discuss the theoretical implications of these results.

arXiv comment31 pages, 14 figures

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Cited by in corpus (14)

• SU(N) gauge theories at large N
• On the effective theory of long open strings
• High precision Monte Carlo simulations of interfaces in the three-dimensional Ising model: a comparison with the Nambu-Goto effective string model
• Effective string description of confining flux tubes
• Introductory lectures to large-N QCD phenomenology and lattice results
• Jarzynski's theorem for lattice gauge theory
• The interface free energy: Comparison of accurate Monte Carlo results for the 3D Ising model with effective interface models
• The partition function of interfaces from the Nambu-Goto effective string theory
• Zero Point Energy of Renormalized Wilson Loops
• The confining string beyond the free-string approximation in the gauge dual of percolation
• Three dimensional finite temperature SU(3) gauge theory in the confined region and the string picture
• Ising string beyond Nambu-Goto
• Excitations of Ising Strings on a Lattice
• GL(2,R) dualities in generalised Z(2) gauge theories and Ising models