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Closed flux tubes in D = 2 + 1 SU(N ) gauge theories: dynamics and effective string description

2016/02/24 by Andreas Athenodorou, M. Teper, Michael Teper · 33 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Excitation #Flux (metallurgy) #Flux tube #Magnetic field #Magnetic flux #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Quantum mechanics #String (physics) #String theory #Theoretical physics #hep-lat #hep-th

paper · pdf · doi:10.1007/jhep10(2016)093

published in Journal of High Energy Physics 2016(10) (Springer Nature) · 72 pages, including 42 figures

arxiv created 2016/02/24 · openalex publication_date 2016/10/01 · arxiv updated 2016/11/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We extend our earlier calculations of the spectrum of closed flux tubes in SU(N ) gauge theories in 2 + 1 dimensions, with a focus on questions raised by recent theoretical progress on the effective string action of long flux tubes and the world-sheet action for flux tubes of moderate lengths. Our new calculations in SU(4) and SU(8) provide evidence that the leading O(1/l γ ) non-universal correction to the flux tube ground state energy does indeed have a power γ ≥ 7. We perform a study in SU(2), where we can traverse the length at which the Nambu-Goto ground state becomes tachyonic, to obtain an all-N view of the spectrum. Our comparison of the k = 2 flux tube excitation energies in SU(4) and SU(6) suggests that the massive world sheet excitation associated with the k = 2 binding has a scale that knows about the group and hence the theory in the bulk, and we comment on the potential implications of world sheet massive modes for the bulk spectrum. We provide a quantitative analysis of the surprising (near-)orthogonality of flux tubes carrying flux in different SU(N ) representations, which implies that their screening by gluons is highly suppressed even at small N .

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