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Two dimensional fermions in three dimensional YM

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arxiv 1005.0576 v2 pith:WLAAFUXT submitted 2010-05-04 hep-lat hep-th

R. Narayanan , H. Neuberger This is my paper · ORCID
classification hep-lathep-th
keywords dimensionalthreechiralcylinderfermionssymmetrybrokenbulk
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abstract

Dirac fermions in the fundamental representation of SU(N) live on the surface of a cylinder embedded in $R^3$ and interact with a three dimensional SU(N) Yang Mills vector potential preserving a global chiral symmetry at finite $N$. As the circumference of the cylinder is varied from small to large, the chiral symmetry gets spontaneously broken in the infinite $N$ limit at a typical bulk scale. Replacing three dimensional YM by four dimensional YM introduces non-trivial renormalization effects.

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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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