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Large N reduction in the continuum three dimensional Yang-Mills theory

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arxiv hep-lat/0303023 v2 pith:WPJGQMPA submitted 2003-03-26 hep-lat hep-th

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

Numerical and theoretical evidence leads us to propose the following: Three dimensional Euclidean Yang-Mills theory in the planar limit undergoes a phase transition on a torus of side $l=l_c$. For $l>l_c$ the planar limit is $l$-independent, as expected of a non-interacting string theory. We expect the situation in four dimensions to be similar.

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Cited by 2 Pith papers

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

  1. Confining Flux Tube in the Trace Deformed (2+1) Dimensional SU(2) Gauge Theory

    hep-lat 2026-06 unverdicted novelty 7.0 of 10

    In the reconfined phase of trace-deformed (2+1)D SU(2) gauge theory, Polyakov-loop data are accurately fit by the Polchinski-Yang rigid string while Nambu-Goto fails, with modified flux-tube width and a shift to first...

  2. The large-$N$ Yang--Mills $\Lambda$-parameter from step scaling

    hep-lat 2026-07 conditional novelty 6.0 of 10

    First non-asymptotic-scaling determination of the large-N Yang-Mills Λ-parameter yields √(8t₀)Λ_MS(N=∞) = 0.639(36).

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