Strings and AdS/CFT at finite density

Leiden Repository

Strings and AdS/CFT at finite density

Title: Strings and AdS/CFT at finite density
Author: Goykhman, Mikhail
Publisher: Lorentz Institute, Faculty of Science, Leiden University
Issue Date: 2014-06-24
Keywords: AdS/CFT correspondence
Dirac-Born-Infeld model
WZW model
Coset model
Abstract: This thesis is devoted to applications of string theoretic methods of holography to strongly coupled phases of quantum field theories. In chapter 2 we consider a finite-density system of quarks, realized holographically by a probe brane in Anti-de Sitter space, with a non-trivial gauge field background on its world-volume. We reproduce the holographic zero-sound in the longitudinal channel of the current-current correlation function. We generalize this result to the case of a non-vanishing background magnetic field. This field leads to a gap in the zero-sound mode, which scales proportionally to the magnitude of the field when it is small. In chapter 3 we study the classical dynamics of the tachyon field in an AdS background described by the tachyon-Dirac-Born-Infeld action. By considering a black hole in AdS space and switching on a non-vanishing background gauge field we obtained a holographic model of conformal symmetry breaking in a strongly coupled system at finite temperature and charge density. In chapter 4 we provide the exact string theoretic description of a quantum field theory at finite temperature and charge density
Description: Promotores: J. Zaanen, A. Parnachev
With summary in Dutch
Faculty: Faculteit der Wiskunde en Natuurwetenschappen
Citation: Goykhman, M., 2014, Doctoral thesis, Leiden University
Series/Report no.: Casimir PhD series Delft-Leiden;2014-16
ISBN: 9789085931911

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