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2021

The torelon spectrum and the world-sheet axion

Athenodorou, Andreas, Teper, Michael

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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 $P_{\perp}$, longitudinal parity $P_{\parallel}$ as well as by the longitudinal momentum $p_{\parallel}$.

The torelon spectrum and the world-sheet axion · Around

Built on

O. Aharony and E. Karzbrun, On the effective action of confining strings,
Original
1927
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P. Goddard, J. Goldstone, C. Rebbi, and C. B. Thorn, Quantum dynamics of a massless relativistic string,
1973
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M. Lüscher, K. Symanzik and P. Weisz, Anomalies of the free loop wave equation in the WKB approximation
1980
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Y. Nambu, Phys. Rev. D 10
1983
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P. Olesen, Strings and QCD
1985
Earlier work this paper cites.

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Then

A. Athenodorou and M. Teper, “The glueball spectrum of SU(3) gauge theory in 3 + 1 dimensions,”
Original
2007
Later among the works it cites.
A. Athenodorou, B. Bringoltz and M. Teper, “Closed flux tubes and their string description in D=2+1 SU(N) gauge theories,"
Original
2011
Later among the works it cites.
A. Athenodorou, B. Bringoltz and M. Teper, “Closed flux tubes and their string description in D=3+1 SU(N) gauge theories,”
Original
2011
Later among the works it cites.
S. Dubovsky, R. Flauger and V. Gorbenko, “Evidence from Lattice Data for a New Particle on the Worldsheet of the QCD Flux Tube,”
Original
2013
Later among the works it cites.
A. Athenodorou and M. Teper, “SU(N) gauge theories in 3+1 dimensions: glueball spectrum, string tensions and topology,”

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