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

Physics – High Energy Physics – High Energy Physics - Lattice

Scientific paper

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4 pages, latex file, two figures, version to appear in Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.91.081601

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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