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Revisiting the flux tube spectrum of 3d SU(2) lattice gauge theory
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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.
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Cited by 1 Pith paper
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Effective string description of the reconfined phase in the trace deformed $\mathrm{SU}(2)$ Yang-Mills theory in (2+1) dimensions
In the reconfined phase of trace deformed SU(2) gauge theory, the flux tube energy follows the Polchinski-Yang rigid string rather than the Nambu-Goto string.
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