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A short proof of confinement in three-dimensional lattice gauge theories with a central U⁢(1)

arxiv.org

A new short proof of confinement in 3D lattice gauge theory reveals why quarks can never escape each other — with elegant math that cuts through decades of complexity.

Lattice Gauge TheoryConfinementWilson LoopSymmetry Breaking

Theory Briefing

  • The proof tackles Wilson lattice gauge theory in 3D, where a central U(1) symmetry forces quarks into permanent confinement.
  • Using a self-contained argument, the authors sidestep lengthy prior derivations to show the string tension between quarks never vanishes.
  • Confinement — the reason free quarks are never observed — is reframed here as a direct consequence of lattice gauge symmetry structure.