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SUMMARY:Adèle Le Borgne (University of Bern)
DTSTART:20251010T070000Z
DTEND:20251010T080000Z
DTSTAMP:20260422T163738Z
UID:EUPAC-TP/7
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/EUPAC-TP/7/"
 >Landau-Ginzburg theory for 1-form symmetries</a>\nby Adèle Le Borgne (Un
 iversity of Bern) as part of Europe and Pacific Theoretical Physics\n\n\nA
 bstract\nTo conclude the first block of seminars on higher form symmetry\,
  I will review the first four sections of $\\textbf{Mean string field theo
 ry: Landau-Ginzburg theory for 1-form symmetries}$ by Nabil Iqbal\, John M
 cGreevy.\n\n\n$\\textit{Abstract of the paper:}$ \n\nBy analogy with the L
 andau-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 fi
 eld – defined on the space of closed loops – that can be used to descr
 ibe the creation\, annihilation\, and condensation of effective strings. L
 ike 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 t
 ransparent derivation of the area law for charged line operators in the un
 broken phase and describe the dynamics of gapless Goldstone modes in the b
 roken phase. The framework also provides a theory of topological defects o
 f the broken phase and a description of the phase transition that should b
 e valid above an upper critical dimension\, which we discuss. We also disc
 uss general consequences of emergent one-form symmetries at zero and finit
 e temperature.\n
LOCATION:https://researchseminars.org/talk/EUPAC-TP/7/
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