From QCD strings to WZW

DOI10.1007/JHEP03(2019)120zbMATH Open1414.81256arXiv1812.07043WikidataQ128207083 ScholiaQ128207083MaRDI QIDQ2421127

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Publication date: 8 June 2019

Published in: (Search for Journal in Brave)

Abstract: According to the Axionic String Anstaz (ASA) confining flux tubes in pure gluodynamics are in the same equivalence class as a new family of integrable non-critical strings, called axionic strings. In addition to translational modes, axionic strings carry a set of worldsheet axions transforming as an antisymmetric tensor under the group of transverse rotations. We initiate a study of integrable axionic strings at general number of space-time dimensions $D$. We show that in the infinite tension limit worldsheet axions should be described by a peculiar "pseudofree" theory---their $S$-matrix is trivial, but the corresponding action cannot be brought into a free form by a local field redefinition. This requirement fixes the axionic action to take a form of the $O(D-2)$ Wess--Zumino--Witten (WZW) model.

Full work available at URL: https://arxiv.org/abs/1812.07043

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