2021
DOI: 10.48550/arxiv.2112.11213
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The torelon spectrum and the world-sheet axion

Abstract: We present a major update on the spectrum of the closed flux-tube (torelon) in D = 3 + 1 SU (N ) gauge theories. Namely, we calculate the excitation spectrum of a confining flux-tube which winds around a spatial torus as a function of its length l, for short as well as long tubes. We do so for N = 3, 5, 6 and two different values of the lattice spacing. Our states are characterised by the quantum numbers of spin J, transverse parity P ⊥ , longitudinal parity P as well as by the longitudinal momentum p . Our ex… Show more

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Cited by 2 publications
(2 citation statements)
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“…We concluded to the above by the resonance character of the 0 −− , 𝑞 = 0 ground state which appears to be an axion coupled to the string's absolute ground state, by the 0 ++ second excited state which can be interpreted as a bound state of two axions with a very low binding energy coupled to the absolute ground state as well as by the 0 − 𝑞 = 1, 2 ground states which also have an axion character. Furthermore, states with axionic character can also be identified in other irreducible representations such as |𝐽 mod 4 this is a matter of presentation in the longer write-up [27]. Finally, the spectrum of the confining string, including the axionic modes appears to have insignificant large-𝑁 effects.…”
Section: Discussionmentioning
confidence: 99%
“…We concluded to the above by the resonance character of the 0 −− , 𝑞 = 0 ground state which appears to be an axion coupled to the string's absolute ground state, by the 0 ++ second excited state which can be interpreted as a bound state of two axions with a very low binding energy coupled to the absolute ground state as well as by the 0 − 𝑞 = 1, 2 ground states which also have an axion character. Furthermore, states with axionic character can also be identified in other irreducible representations such as |𝐽 mod 4 this is a matter of presentation in the longer write-up [27]. Finally, the spectrum of the confining string, including the axionic modes appears to have insignificant large-𝑁 effects.…”
Section: Discussionmentioning
confidence: 99%
“…Confining strings, axions and glueballs in the planar limit this is a matter of presentation in the longer write-up [27]. Finally, the spectrum of the confining string, including the axionic modes appears to have insignificant large-𝑁 effects.…”
Section: Pos(corfu2021)168mentioning
confidence: 98%