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- W4300555433 abstract "We consider a possible discretization for the gauge-fixed Green-Schwarz (two-dimensional) sigma-model action for the Type IIB superstring and use it for measuring the cusp anomalous dimension of planar $mathcal{N}=4$ SYM as derived from string theory. We perform lattice simulations employing a Rational Hybrid Monte Carlo (RHMC) algorithm and a Wilson-like fermion discretization. In this preliminary study, we compare our results with the expected behavior for very large values of $g=frac{sqrt{lambda}}{4pi}$, which is the perturbative regime of the sigma-model, and find a qualitative agreement at finite lattice spacing. For smaller $g$ the continuum limit is obstructed by a divergence. We also detect a phase in the fermion determinant, whose origin we explain, which for small $g$ leads to a sign problem not treatable via standard reweigthing. Results presented here are discussed thoroughly in~cite{toappear}." @default.
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- W4300555433 date "2016-01-18" @default.
- W4300555433 modified "2023-10-16" @default.
- W4300555433 title "Lattice and string worldsheet in AdS/CFT: a numerical study" @default.
- W4300555433 doi "https://doi.org/10.48550/arxiv.1601.04670" @default.
- W4300555433 hasPublicationYear "2016" @default.
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