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

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

2007-06-11

arxiv.org/abs/0706.1525v3

Physics

High Energy Physics

High Energy Physics - Theory

52 pages, 5 figures; v3: added explanations and complete proof of the cancellation of the 1-loop logarithmic divergences in Se

Scientific paper

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.

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