Perturbative and Non-perturbative Approaches to String Sigma-Models in AdS/CFT, Softcover reprint of the original 1st ed. 2017 Springer Theses Series

Perturbative techniques have traditionally been used to make quantitative predictions in quantum field theories, but they are only reliable as long as the interaction strengths are weak. The anti-de Sitter/conformal field theory (AdS/CFT) correspondence realizes physicists? dream of studying strongly coupled quantum field theories with ?enhanced? symmetries, using the methods provided by string theory. 

The first part of the thesis sets up the semiclassical quantization of worldsheet sigma-model actions around string solutions of least area in AdS space. This machinery is used to capture quantum corrections at large coupling to next-to-leading and next-to-next-to-leading order by solving the determinants of partial differential operators and by computing Feynman diagrams, respectively. In turn, the second part presents an innovative approach based on Monte Carlo simulations to finite coupling for a lattice-discretized model of the AdS5×S5 superstring action.

The thesis focuses on fundamental aspects, as well as on applications previously published by the author, and offers a valuable reference work for anyone interested in the most recent developments in this field.

Introduction.- Superstring Actions in AdS5 × S5 and AdS4 × CP3 Spaces.- Geometric Properties of Semiclassically Quantized Strings.- “Exact” Semiclassical Quantization of Folded Spinning Strings.- Towards Precision Holography for Latitude Wilson Loops.- Light-like Cusp Anomaly and the Interpolating Function in ABJM.- AdS5 × S5 Superstring on the Lattice.- Conclusion and outlook.