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Screening vs. Confinement in 1+1 Dimensions

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arxiv hep-th/9511104 v2 pith:35PN4ILH submitted 1995-11-14 hep-th hep-ph

Screening vs. Confinement in 1+1 Dimensions

classification hep-th hep-ph
keywords fermionsdynamicalmasslessproberepresentationchargegaugescreened
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We show that, in 1+1 dimensional gauge theories, a heavy probe charge is screened by dynamical massless fermions both in the case when the source and the dynamical fermions belong to the same representation of the gauge group and, unexpectedly, in the case when the representation of the probe charge is smaller than the representation of the massless fermions. Thus, a fractionally charged heavy probe is screened by dynamical fermions of integer charge in the massless Schwinger model, and a colored probe in the fundamental representation is screened in $QCD_2$ with adjoint massless Majorana fermions. The screening disappears and confinement is restored as soon as the dynamical fermions are given a non-zero mass. For small masses, the string tension is given by the product of the light fermion mass and the fermion condensate with a known numerical coefficient. Parallels with 3+1 dimensional $QCD$ and supersymmetric gauge theories are discussed.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Confinement Versus Screening in the Schwinger Model on AdS$_2$ from Bosonization and Tensor Networks

    hep-th 2026-07 conditional novelty 7.0

    Massless QED2 on AdS2 is screened, not confined, when the static potential is defined after subtracting position-dependent probe self-energies.

  2. Infinite matrix product states for $(1+1)$-dimensional gauge theories

    hep-th 2025-08 unverdicted novelty 7.0

    A matrix product operator construction using link-enhanced MPOs enables infinite-lattice simulations of (1+1)D gauge theories with manifest translation invariance and symmetry.

  3. Faddeev description of baryons in two-dimensional QCD with $N_c=3$. I. Chiral spectrum, isospin, and strangeness

    hep-ph 2026-07 accept novelty 6.5

    A valence light-front Faddeev solution of Nc=3 QCD2 yields a massless chiral baryon, Webber’s tower, inverted Σ–Λ ordering, and protected GMO/Coleman–Glashow relations in mass squared.