2007/06/11 by Andrei Mikhailov, Sakura Schafer-Nameki, Mikhailov, Andrei +1
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th
paper · pdf · doi:10.48550/arxiv.0706.1525
52 pages, 5 figures; v3: added explanations and complete proof of the cancellation of the 1-loop logarithmic divergences in Section 6
arxiv created 2007/09/17 · arxiv updated 2009/12/01
Quantum 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.