String confinement in two-form lattice gauge theory

2019/10/15 by Tomoya Hayata, Arata Yamamoto · 1 voice
Physics and Astronomy · #Physics of Superconductivity and Magnetism #Quantum Chromodynamics and Particle Interactions #Quantum, superfluid, helium dynamics

paper · pdf · doi:10.1103/physrevd.100.074504

openalex created_date 2019/05/16 · openalex publication_date 2019/10/15 · openalex updated_date 2026/07/28

Abstract

We study the confinement between vortex strings in the lattice gauge theory of the dual Abelian Higgs model. The dual lattice gauge theory is described by a two-form gauge field coupled with a one-form gauge field. We calculate the string-antistring potential from the surface operator of the two-form gauge field. The linear confining potential appears in the string confinement phase, and it disappears in the string deconfinement phase. The phase diagram of the theory is also obtained.

Discussions

• There is no trouble with coupling a $p$ -form gauge field to a $(p-1)$ -form Higgs field, see for example the discussion in Section 4.1 of my paper . We cite various references that have studied this, [stackexchange, 2 points]

Related

• Effective Dual Higgs Mechanism with Confining Forces
• Dual lattice simulations of flux tubes
• Superconducting strings in the two-Higgs doublet model
• Dual Abrikosov vortices in U(1) and SU(2) lattice gauge theories
• Line operators, vortex statistics, and Higgs versus confinement dynamics