Excitations of Ising strings on a lattice
Abstract
The 3d Ising model in the low temperature (ferromagnetic) phase describes dynamics of twodimensional surfaces — domain walls between clusters of parallel spins. The KramersWannier duality maps these surfaces into worldsheets of confining strings in the Wegner's &Z;_{2} gauge theory. We study the excitation spectrum of long Ising strings by simulating the &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.
 Publication:

Journal of High Energy Physics
 Pub Date:
 May 2023
 DOI:
 10.1007/JHEP05(2023)082
 arXiv:
 arXiv:2301.00034
 Bibcode:
 2023JHEP...05..082A
 Keywords:

 Long Strings;
 Confinement;
 Other Lattice Field Theories;
 High Energy Physics  Lattice;
 Condensed Matter  Statistical Mechanics;
 High Energy Physics  Theory
 EPrint:
 47 pages, 16 figures