Perturbative study of the transfer matrix on the string worldsheet in AdS(5)xS(5)

dc.creatorMikhailov, Andrei
dc.creatorSchafer-Nameki, Sakura
dc.date2007-06-11
dc.date2007-09-17
dc.date.accessioned2026-07-07T08:29:32Z
dc.date.available2026-07-07T08:29:32Z
dc.descriptionQuantum non-local charges are central to the quantum integrability of a sigma-model. In this paper we study the quantum consistency and UV finiteness of non-local charges of string theory in AdS(5)xS(5). We use the pure spinor formalism. We develop the near-flat space expansion of the transfer matrix and calculate the one-loop divergences. We find that the logarithmic divergences cancel at the level of one loop. This gives strong support to the quantum integrability of the full string theory. We develop a calculational setup for the renormalization group analysis of Wilson line type of operators on the string worldsheet.
dc.description52 pages, 5 figures; v3: added explanations and complete proof of the cancellation of the 1-loop logarithmic divergences in Section 6
dc.identifierhttps://arxiv.org/abs/0706.1525
dc.identifierhttp://arxiv.org/abs/0706.1525
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/137970
dc.subjectHigh Energy Physics - Theory
dc.titlePerturbative study of the transfer matrix on the string worldsheet in AdS(5)xS(5)
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