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The deconfining phase transition in D=2+1 SU(N) gauge theories

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arxiv 0803.2128 v1 pith:JCY4GGJB submitted 2008-03-14 hep-lat

Jack Liddle , Michael Teper This is my paper · ORCID
classification hep-lat
keywords transitiondeconfiningorderfirstgaugetheoriescaseconfirm
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We study the deconfining transition of SU(N) gauge theories in 2+1 dimensions for N ranging between N=2 and N=8. We confirm that the transition is second order for N<4 and first order for N>4. For the more delicate case of SU(4) all our evidence points to the transition being weakly first order. After extrapolating to the continuum limit, we obtain a deconfining temperature that can be well fitted by Tc/sqrt(sigma) = 0.9026(23) + 0.880(43)/N^2 for all N.

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Cited by 2 Pith papers

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  1. Intrinsic width of the flux tube in 2+1 dimensional Yang-Mills therories

    hep-lat 2025-01 conditional novelty 5.0 of 10

    The flux tube profile in 2+1 SU(2) Yang-Mills is governed by a single intrinsic width that equals T/(2 sigma(T)) at high temperature.

  2. Effective String Theory of three-dimensional SU(N) gauge theories beyond the Nambu--Got\=o approximation

    hep-lat 2024-12 conditional novelty 4.0 of 10

    The authors extract the first two beyond-Nambu-Goto effective string coefficients k4 and k5 for SU(3), SU(6), and improved values for SU(2) from high-precision lattice data near deconfinement, finding agreement with S...

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