Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 2, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP02(2017)022
Keywords
1/N Expansion; Bosonic Strings; Confinement; Lattice QCD
Categories
Funding
- Government of Canada through Industry Canada
- Province of Ontario through the Ministry of Economic Development Innovation
- NSF [PHY-1352119]
- Division Of Physics
- Direct For Mathematical & Physical Scien [1352119] Funding Source: National Science Foundation
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We put forward the Axionic String Ansatz (ASA), which provides a unified description for the worldsheet dynamics of confining strings in pure Yang-Mills theory both in D = 3 and D = 4 space-time dimensions. The ASA is motivated by the excitation spectrum of long confining strings, as measured on a lattice, and by recently constructed integrable axionic non-critical string models. According to the ASA, pure gluodynamics in 3D is described by a non-critical bosonic string theory without any extra local worldsheet degrees of freedom. We argue that this assumption fixes the set of quantum numbers (spins, P- and C-parities) of almost all glueball states. We confront the resulting predictions with the properties of approximately 1 (2) + 2 (2) + 3 (2) + 5 (2) = 39 lightest glueball states measured on a lattice and find a good agreement. On the other hand, the spectrum of low lying glueballs in 4D gluodynamics suggests the presence of a massive pseudoscalar mode on the string worldsheet, in agreement with the ASA and lattice data for long strings.
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