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Chiral symmetry breaking transitions in holographic duals

Chiral symmetry breaking transitions in holographic duals
Chiral symmetry breaking transitions in holographic duals
Generalisations of the AdS/CFT Correspondence are used to study chiral symmetry breaking in dual gauge theories. We use the D3/D7 and D3/D5 systems to model both 3+1 and 2+1 dimensional, strongly coupled, gauge theories with quark fields. We show that chiral symmetry breaking is induced by either an imposed running coupling/dilaton profile or a background magnetic field. We explore the low energy effective theory of the pions of these models deriving simple integral equations for low energy parameters in the spirit of constituent quark model results. We also explore the phase structure of these models, with respect to temperature, chemical potential and applied electric field. The phase diagrams contain regions with broken and restored chiral symmetry separated by first order, second order and BKT transitions. There is an extra transition associated with the melting of the meson states into the background plasma. Finally we use the phenomenological dilaton profile to engineer holographic descriptions of theories with QCD-like phase diagrams.
Gebauer, Astrid
d0a11ca4-8f06-48aa-b8ea-7ac897f90038
Gebauer, Astrid
d0a11ca4-8f06-48aa-b8ea-7ac897f90038
Evans, Nick
33dfbb52-64dd-4c1f-9cd1-074faf2be4b3

Gebauer, Astrid (2011) Chiral symmetry breaking transitions in holographic duals. University of Southampton, Faculty of Physical and Applied Sciences, Doctoral Thesis, 173pp.

Record type: Thesis (Doctoral)

Abstract

Generalisations of the AdS/CFT Correspondence are used to study chiral symmetry breaking in dual gauge theories. We use the D3/D7 and D3/D5 systems to model both 3+1 and 2+1 dimensional, strongly coupled, gauge theories with quark fields. We show that chiral symmetry breaking is induced by either an imposed running coupling/dilaton profile or a background magnetic field. We explore the low energy effective theory of the pions of these models deriving simple integral equations for low energy parameters in the spirit of constituent quark model results. We also explore the phase structure of these models, with respect to temperature, chemical potential and applied electric field. The phase diagrams contain regions with broken and restored chiral symmetry separated by first order, second order and BKT transitions. There is an extra transition associated with the melting of the meson states into the background plasma. Finally we use the phenomenological dilaton profile to engineer holographic descriptions of theories with QCD-like phase diagrams.

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Published date: November 2011
Organisations: University of Southampton, Theoretical Partical Physics Group

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Local EPrints ID: 206257
URI: http://eprints.soton.ac.uk/id/eprint/206257
PURE UUID: f3faa10c-237c-4249-802d-2187d674b3e1

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Date deposited: 21 Dec 2011 16:47
Last modified: 14 Mar 2024 04:36

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Contributors

Author: Astrid Gebauer
Thesis advisor: Nick Evans

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