Separation of Variables for a flux tube with an end

We consider a partial light-cone limit of a correlation function of the stress-tensor multiplet and identify an integrable structure emerging at one loop order of perturbation theory. It corresponds to a noncompact open spin chain with one boundary being recoil-less while the other one fully dynamic...

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Main Author: A.V. Belitsky
Format: Article
Language:English
Published: Elsevier 2020-08-01
Series:Nuclear Physics B
Online Access:http://www.sciencedirect.com/science/article/pii/S0550321320301796
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spelling doaj-444c64e25c7f4d8fb2a68b00771aa1ba2020-11-25T03:49:26ZengElsevierNuclear Physics B0550-32132020-08-01957115093Separation of Variables for a flux tube with an endA.V. Belitsky0Department of Physics, Arizona State University, Tempe, AZ 85287-1504, USAWe consider a partial light-cone limit of a correlation function of the stress-tensor multiplet and identify an integrable structure emerging at one loop order of perturbation theory. It corresponds to a noncompact open spin chain with one boundary being recoil-less while the other one fully dynamical. We solve the system by means of techniques of the Baxter operator and Separation of Variables. The eigenvalues of the separated variables define rapidities of excitations propagating on the color flux tube and encode their factorizable dynamics in the presence of a dynamical boundary.http://www.sciencedirect.com/science/article/pii/S0550321320301796
collection DOAJ
language English
format Article
sources DOAJ
author A.V. Belitsky
spellingShingle A.V. Belitsky
Separation of Variables for a flux tube with an end
Nuclear Physics B
author_facet A.V. Belitsky
author_sort A.V. Belitsky
title Separation of Variables for a flux tube with an end
title_short Separation of Variables for a flux tube with an end
title_full Separation of Variables for a flux tube with an end
title_fullStr Separation of Variables for a flux tube with an end
title_full_unstemmed Separation of Variables for a flux tube with an end
title_sort separation of variables for a flux tube with an end
publisher Elsevier
series Nuclear Physics B
issn 0550-3213
publishDate 2020-08-01
description We consider a partial light-cone limit of a correlation function of the stress-tensor multiplet and identify an integrable structure emerging at one loop order of perturbation theory. It corresponds to a noncompact open spin chain with one boundary being recoil-less while the other one fully dynamical. We solve the system by means of techniques of the Baxter operator and Separation of Variables. The eigenvalues of the separated variables define rapidities of excitations propagating on the color flux tube and encode their factorizable dynamics in the presence of a dynamical boundary.
url http://www.sciencedirect.com/science/article/pii/S0550321320301796
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