Abstract
Recent lattice results strongly support the Axionic String Ansatz (ASA) for quantum numbers of glueballs in 3D Yang-Mills theory. The ASA treats glueballs as closed bosonic strings. The corresponding worldsheet theory is a deformation of the minimal Nambu-Goto theory. In order to understand better the ASA strings and as a first step towards a perturbative calculation of the glueball mass splittings we compare the ASA spectrum to the closed effective string theory. Namely, we model glueballs as excitations around the folded rotating rod solution with a large angular momentum J. The resulting spectrum agrees with the ASA in the regime of validity of the effective theory, i.e., in the vicinity of the leading Regge trajectory. In particular, closed effective string theory correctly predicts that only glueballs of even spin J show up at the leading Regge trajectory. Interestingly though, the closed effective string theory overestimates the number of glueball states far above the leading Regge trajectory.
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References
G. ’t Hooft, A Planar Diagram Theory for Strong Interactions, Nucl. Phys. B 72 (1974) 461 [INSPIRE].
S. Dubovsky and V. Gorbenko, Towards a Theory of the QCD String, JHEP 02 (2016) 022 [arXiv:1511.01908] [INSPIRE].
S. Dubovsky and G. Hernandez-Chifflet, Yang-Mills Glueballs as Closed Bosonic Strings, JHEP 02 (2017) 022 [arXiv:1611.09796] [INSPIRE].
A. Athenodorou and M. Teper, SU(N) gauge theories in 2 + 1 dimensions: glueball spectra and k-string tensions, JHEP 02 (2017) 015 [arXiv:1609.03873] [INSPIRE].
P. Conkey, S. Dubovsky and M. Teper, Glueball spins in D = 3 Yang-Mills, JHEP 10 (2019) 175 [arXiv:1909.07430] [INSPIRE].
S. Hellerman and I. Swanson, String Theory of the Regge Intercept, Phys. Rev. Lett. 114 (2015) 111601 [arXiv:1312.0999] [INSPIRE].
S. Hellerman, S. Maeda, J. Maltz and I. Swanson, Effective String Theory Simplified, JHEP 09 (2014) 183 [arXiv:1405.6197] [INSPIRE].
J. Sonnenschein and D. Weissman, On the quantization of folded strings in non-critical dimensions, JHEP 12 (2020) 120 [arXiv:2006.14634] [INSPIRE].
J. Sonnenschein and D. Weissman, Quantizing the rotating string with massive endpoints, JHEP 06 (2018) 148 [arXiv:1801.00798] [INSPIRE].
J. Sonnenschein and D. Weissman, Glueballs as rotating folded closed strings, JHEP 12 (2015) 011 [arXiv:1507.01604] [INSPIRE].
S. Dubovsky, R. Flauger and V. Gorbenko, Evidence from Lattice Data for a New Particle on the Worldsheet of the QCD Flux Tube, Phys. Rev. Lett. 111 (2013) 062006 [arXiv:1301.2325] [INSPIRE].
J. Elias Miró, A.L. Guerrieri, A. Hebbar, J. Penedones and P. Vieira, Flux Tube S-matrix Bootstrap, Phys. Rev. Lett. 123 (2019) 221602 [arXiv:1906.08098] [INSPIRE].
S. Dubovsky, R. Flauger and V. Gorbenko, Solving the Simplest Theory of Quantum Gravity, JHEP 09 (2012) 133 [arXiv:1205.6805] [INSPIRE].
S. Dubovsky, The QCD β-function On The String Worldsheet, Phys. Rev. D 98 (2018) 114025 [arXiv:1807.00254] [INSPIRE].
J. Polchinski and A. Strominger, Effective string theory, Phys. Rev. Lett. 67 (1991) 1681 [INSPIRE].
P. Goddard, J. Goldstone, C. Rebbi and C.B. Thorn, Quantum dynamics of a massless relativistic string, Nucl. Phys. B 56 (1973) 109 [INSPIRE].
L. Brink and M. Henneaux, Principles of string theory Kluwer Academic, Plenum Publishers (1988).
G. Arutyunov, Lectures on String Theory, Utrecht University (2009).
L. Mezincescu and P.K. Townsend, Anyons from Strings, Phys. Rev. Lett. 105 (2010) 191601 [arXiv:1008.2334] [INSPIRE].
L. Mezincescu and P.K. Townsend, Quantum 3D Superstrings, Phys. Rev. D 84 (2011) 106006 [arXiv:1106.1374] [INSPIRE].
A. Athenodorou and M. Teper, The glueball spectrum of SU(3) gauge theory in 3 + 1 dimensions, JHEP 11 (2020) 172 [arXiv:2007.06422] [INSPIRE].
S. Dubovsky, R. Flauger and V. Gorbenko, Flux Tube Spectra from Approximate Integrability at Low Energies, J. Exp. Theor. Phys. 120 (2015) 399 [arXiv:1404.0037] [INSPIRE].
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Dubovsky, S., Hernández-Chifflet, G. & Zare, S. 3D Yang-Mills glueballs vs closed effective strings. J. High Energ. Phys. 2021, 216 (2021). https://doi.org/10.1007/JHEP07(2021)216
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DOI: https://doi.org/10.1007/JHEP07(2021)216