Iqbal, Nabil and McGreevy, John (2022) 'Mean string field theory: Landau-Ginzburg theory for 1-form symmetries.', SciPost Physics, 13 (5). p. 114.
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.
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|Publisher Web site:||https://doi.org/10.21468/SciPostPhys.13.5.114|
|Publisher statement:||Copyright N. Iqbal and J. McGreevy. This work is licensed under the Creative Commons Attribution 4.0 International License. Published by the SciPost Foundation.|
|Date accepted:||28 September 2022|
|Date deposited:||23 November 2022|
|Date of first online publication:||22 November 2022|
|Date first made open access:||23 November 2022|
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