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 &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
- E-Print:
- 47 pages, 16 figures