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Benedetti, Marco (2019) Schwarzian theories and the Sachdev-Ye-Kitaev model. [Magistrali biennali]

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Abstract

In this thesis we analyze an interesting recurrent pattern of symmetry-induced emergence of the Schwarzian derivative in modern Theoretical Physics. In particular we study the IR modes of the SYK model, analyzing them in a functional integral approach recently proposed by Belokurov and Schavgulidze, in which the Schwarzian derivative plays a central role. Then we move to a novel formulation of the Quantum Hamilton-Jacobi equation, proposed by by M. Matone and A.E. Faraggi. Starting from geometrical assumptions it retrieves important features of Quantum Mechanics, such as energy quantization. The picture we give unveils an intertwining between functional integration, quantum mechanics and geometry, based upon the Schwarzian derivative.

Item Type:Magistrali biennali
Corsi di Diploma di Laurea:Scuola di Scienze > Fisica
Uncontrolled Keywords:Schwarzian derivative, SYK model, functional integration, Quantum Hamilton-Jacobi equation, Uniformization theory.
Subjects:Area 02 - Scienze fisiche > FIS/02 Fisica teorica, modelli e metodi matematici
Codice ID:62578
Relatore:Matone, Marco
Data della tesi:25 March 2019
Biblioteca:Polo di Scienze > Dip. Fisica e Astronomia "Galileo Galilei" - Biblioteca
Tipo di fruizione per il documento:on-line per i full-text
Tesi sperimentale (Si) o compilativa (No)?:No

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