Excitations of Ising Strings on a Lattice

Abstract

The 3d Ising model in the low temperature (ferromagnetic) phase describes dynamics of two-dimensional surfaces -- domain walls between clusters of parallel spins. The Kramers--Wannier duality maps these surfaces into worldsheets of confining strings in the Wegner's ${\mathbb{Z}}_2$ gauge theory. We study the excitation spectrum of long Ising strings by simulating the ${\mathbb{Z}}_2$ gauge theory on a lattice. We observe a strong mixing between string excitations and the lightest glueball state and do not find indications for light massive resonances on the string worldsheet.

47 pages, 16 figures

References in corpus (8)

• Generalized Global Symmetries
• Bootstrapping Mixed Correlators in the 3D Ising Model
• Effective String Theory Revisited
• Closed flux tubes and their string description in D=3+1 SU(N) gauge theories
• Flux Tube Spectra from Approximate Integrability at Low Energies
• A different kind of string
• Toward a 3d Ising model with a weakly-coupled string theory dual
• On the spectrum and string tension of U(1) lattice gauge theory in 2+1 dimensions

Cited by in corpus (1)

• Ising string beyond Nambu-Goto