Overview
- Nominated as an outstanding Ph.D. thesis by the Humboldt University Berlin, Berlin,Germany
- Provides a clear introduction to the superstring models relevant for the N=4 super Yang-Mills (N=4 SYM) and ABJM theory, complemented by appendices and references for further reading
- Offers pedagogical explanations of typical string perturbative calculations at one- (functional determinants) and two loops (Feynman diagrams)
- Presents an innovative approach to 2d worldsheet theory via lattice field theory
- Includes supplementary material: sn.pub/extras
Part of the book series: Springer Theses (Springer Theses)
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Table of contents (8 chapters)
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Front Matter
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Back Matter
Keywords
About this book
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.
Authors and Affiliations
About the author
Bibliographic Information
Book Title: Perturbative and Non-perturbative Approaches to String Sigma-Models in AdS/CFT
Authors: Edoardo Vescovi
Series Title: Springer Theses
DOI: https://doi.org/10.1007/978-3-319-63420-3
Publisher: Springer Cham
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: Springer International Publishing AG 2017
Hardcover ISBN: 978-3-319-63419-7Published: 05 September 2017
Softcover ISBN: 978-3-319-87551-4Published: 12 May 2018
eBook ISBN: 978-3-319-63420-3Published: 17 August 2017
Series ISSN: 2190-5053
Series E-ISSN: 2190-5061
Edition Number: 1
Number of Pages: XIII, 239
Number of Illustrations: 14 b/w illustrations, 18 illustrations in colour
Topics: Quantum Field Theories, String Theory, Elementary Particles, Quantum Field Theory, Strongly Correlated Systems, Superconductivity