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Polyakov's confinement mechanism for generalized Maxwell theory

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arxiv 2212.11568 v1 pith:CN3BYT5C submitted 2022-12-22 hep-th cond-mat.str-elhep-lat

Matthew Heydeman , Christian B. Jepsen , Ziming Ji , Amos Yarom This is my paper · ORCID
classification hep-thcond-mat.str-elhep-lat
keywords theoryconfinementmaxwellmechanismpolyakovappearsarguecompleted
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abstract

We study fractional-derivative Maxwell theory, as appears in effective descriptions of, for example, large $N_f$ QED${}_3$, graphene, and some types of surface defects. We argue that when the theory is UV completed on a lattice, monopole condensation leads to a confining phase via the Polyakov confinement mechanism.

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  1. A Nonlocal Schwinger Model

    hep-th 2024-12 accept novelty 7.0 of 10

    For 2<d<4, 2D massless fermions coupled to a d-dimensional Maxwell field are exactly described by a scalar whose scaling dimension runs from 0 in the UV to (4-d)/2 in the IR.

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