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A precise calculation of the fundamental string tension in SU(N) gauge theories in 2+1 dimensions

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abstract

We use lattice techniques to calculate the continuum string tensions of SU(N) gauge theories in 2+1 dimensions. We attempt to control all systematic errors at a level that allows us to perform a precise test of the analytic prediction of Karabali, Kim and Nair. We find that their prediction is within 3% of our values for all N and that the discrepancy decreases with increasing N. When we extrapolate our results to N=oo we find that there remains a discrepancy of ~ 1%, which is a convincing ~6 sigma effect. Thus, while the Karabali-Nair analysis is remarkably accurate at N=oo, it is not exact.

fields

hep-lat 1

years

2026 1

verdicts

UNVERDICTED 1

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  • Confining Flux Tube in the Trace Deformed (2+1) Dimensional SU(2) Gauge Theory hep-lat · 2026-06-18 · unverdicted · none · ref 22 · internal anchor

    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-order reconfinement.