Revisiting the flux tube spectrum of 3d SU(2) lattice gauge theory

Abstract

We perform a high precision measurement of the spectrum of the QCD flux tube in three-dimensional $\SU(2)$ gauge theory at multiple lattice spacings. We compare the results at large $q\bar{q}$ separations $R$ to the spectrum predicted by the effective string theory, including the leading order boundary term with a non-universal coefficient. We find qualitative agreement with the predictions from the leading order Nambu-Goto string theory down to small values of $R$, while, at the same time, observing the predicted splitting of the second excited state due to the boundary term. On fine lattices and at large $R$ we observe slight deviations from the EST predictions for the first excited state.

Contribution to Indian Journal of Physics memorial issue for Pushan Majumdar. 16 pages, 5 figures; v2: enhanced discussion, conclusions unchanged, new version to match published version

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• Fine corrections in the effective string describing SU(2) Yang-Mills theory in three dimensions
• Ising string beyond Nambu-Goto
• The finite temperature ground state energy of the confining string in three-dimensional U(1) gauge theory
• Highly excited pure gauge SU(3) flux tubes
• Strings of diquark-quark (QQ)Q baryon before phase transition