Abstract
The worldsheet axion plays a crucial role in the dynamics of the Yang-Mills confining flux tubes. According to the lattice measurements, its mass is of order the string tension and its coupling is close to a certain critical value. Using the S-matrix Bootstrap, we construct non-perturbative 2 → 2 branon scattering amplitudes which also feature a weakly coupled axion resonance with these properties. We study the extremal bootstrap amplitudes in detail and show that the axion plays a dominant role in their UV completion in two distinct regimes, in one of which it cannot be considered a parametrically light particle. We conjecture that the actual flux tube amplitudes exhibit a similar behavior.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
S. Dubovsky, R. Flauger and V. Gorbenko, Effective string theory revisited, JHEP 09 (2012) 044 [arXiv:1203.1054] [INSPIRE].
J. Elias Miró et al., Flux tube S-matrix bootstrap, Phys. Rev. Lett. 123 (2019) 221602 [arXiv:1906.08098] [INSPIRE].
J. Elias Miró and A. Guerrieri, Dual EFT bootstrap: QCD flux tubes, JHEP 10 (2021) 126 [arXiv:2106.07957] [INSPIRE].
S. Dubovsky and V. Gorbenko, Towards a theory of the QCD string, JHEP 02 (2016) 022 [arXiv:1511.01908] [INSPIRE].
J.C. Donahue, S. Dubovsky, G. Hernández-Chifflet and S. Monin, From QCD strings to WZW, JHEP 03 (2019) 120 [arXiv:1812.07043] [INSPIRE].
A.M. Polyakov, The wall of the cave, Int. J. Mod. Phys. A 14 (1999) 645 [hep-th/9809057] [INSPIRE].
S. Dubovsky, The QCD β-function on the string worldsheet, Phys. Rev. D 98 (2018) 114025 [arXiv:1807.00254] [INSPIRE].
A. Athenodorou, B. Bringoltz and M. Teper, Closed flux tubes and their string description in D = 3 + 1 SU(N) gauge theories, JHEP 02 (2011) 030 [arXiv:1007.4720] [INSPIRE].
A. Athenodorou and M. Teper, The torelon spectrum and the world-sheet axion, PoS LATTICE2021 (2022) 103 [arXiv:2112.11213] [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].
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].
K.J. Juge, J. Kuti and C. Morningstar, Fine structure of the QCD string spectrum, Phys. Rev. Lett. 90 (2003) 161601 [hep-lat/0207004] [INSPIRE].
A. Athenodorou and M. Teper, On the mass of the world-sheet ‘axion’ in SU(N) gauge theories in 3 + 1 dimensions, Phys. Lett. B 771 (2017) 408 [arXiv:1702.03717] [INSPIRE].
J. Polchinski and A. Strominger, Effective string theory, Phys. Rev. Lett. 67 (1991) 1681 [INSPIRE].
S. Hellerman, S. Maeda, J. Maltz and I. Swanson, Effective string theory simplified, JHEP 09 (2014) 183 [arXiv:1405.6197] [INSPIRE].
A.L. Guerrieri, J. Penedones and P. Vieira, S-matrix bootstrap for effective field theories: massless pions, JHEP 06 (2021) 088 [arXiv:2011.02802] [INSPIRE].
F. Acanfora, A. Guerrieri, K. Häring and D. Karateev, Bounds on scattering of neutral Goldstones, arXiv:2310.06027 [INSPIRE].
T.N. Truong, Chiral perturbation theory and final state theorem, Phys. Rev. Lett. 61 (1988) 2526 [INSPIRE].
A. Dobado and J.R. Pelaez, The inverse amplitude method in chiral perturbation theory, Phys. Rev. D 56 (1997) 3057 [hep-ph/9604416] [INSPIRE].
M.F. Paulos et al., The S-matrix bootstrap. Part II. Two dimensional amplitudes, JHEP 11 (2017) 143 [arXiv:1607.06110] [INSPIRE].
P. Cooper et al., Looking for integrability on the worldsheet of confining strings, JHEP 04 (2015) 127 [arXiv:1411.0703] [INSPIRE].
A. Adams et al., Causality, analyticity and an IR obstruction to UV completion, JHEP 10 (2006) 014 [hep-th/0602178] [INSPIRE].
A. Homrich, A. Guerrieri, J. Penedones and P. Vieira, The Branon Matrioska, multi-particle flux tube S-matrix bootstrap, to appear.
A. Antunes, M.S. Costa and J. Pereira, Exploring inelasticity in the S-matrix bootstrap, Phys. Lett. B 846 (2023) 138225 [arXiv:2301.13219] [INSPIRE].
P. Tourkine and A. Zhiboedov, Scattering from production in 2d, JHEP 07 (2021) 228 [arXiv:2101.05211] [INSPIRE].
A. Athenodorou, S. Dubovsky, C. Luo and M. Teper, to appear.
J. Elias Miro, A. Guerrieri and M.A. Gumus, Bridging positivity and S-matrix bootstrap bounds, JHEP 05 (2023) 001 [arXiv:2210.01502] [INSPIRE].
Acknowledgments
We thank Sergei Dubovsky, Guzman Hernandez-Chifflet for useful discussions. AG is supported by the Israel Science Foundation (grant number 1197/20). VG is supported by grant 994302 as part of the Simons Collaboration on Confinement and the QCD String. Research at the Perimeter Institute is supported in part by the Government of Canada through NSERC and by the Province of Ontario through MRI. ALG is supported by the European Union — NextGenerationEU, under the programme Seal of Excellence@UNIPD, project acronym CluEs. We are also thankful to the organizers and the participants of the KITP program “Confinement, Flux Tubes, and Large N” where this work was initiated. This research was supported in part by grant NSF PHY-1748958 to the Kavli Institute for Theoretical Physics (KITP).
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher’s Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
ArXiv ePrint: 2310.20698
Rights and permissions
Open Access . This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
About this article
Cite this article
Gaikwad, A., Gorbenko, V. & Guerrieri, A.L. QCD worldsheet axion from the bootstrap. J. High Energ. Phys. 2024, 90 (2024). https://doi.org/10.1007/JHEP01(2024)090
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP01(2024)090