@article { ,
title = {Mean string field theory: Landau-Ginzburg theory for 1-form symmetries},
abstract = {By analogy with the Landau-Ginzburg theory of ordinary zero-form symmetries, we introduce and develop a Landau-Ginzburg theory of one-form global symmetries, which we call mean string field theory. The basic dynamical variable is a string field – defined on the space of closed loops – that can be used to describe the creation, annihilation, and condensation of effective strings. Like its zero-form cousin, the mean string field theory provides a useful picture of the phase diagram of broken and unbroken phases. We provide a transparent derivation of the area law for charged line operators in the unbroken phase and describe the dynamics of gapless Goldstone modes in the broken phase. The framework also provides a theory of topological defects of the broken phase and a description of the phase transition that should be valid above an upper critical dimension, which we discuss. We also discuss general consequences of emergent one-form symmetries at zero and finite temperature.},
doi = {10.21468/scipostphys.13.5.114},
issn = {2542-4653},
issue = {5},
journal = {SciPost Physics},
note = {EPrint Processing Status: Full text deposited in DRO},
publicationstatus = {Published},
publisher = {SciPost},
url = {https://durham-repository.worktribe.com/output/1185553},
volume = {13},
year = {2024},
author = {Iqbal, Nabil and McGreevy, John}
}