Applications of the gauge/gravity duality
This thesis investigates applications of the gauge/gravity duality to strongly coupled quantum field theories. After a review of the duality and of correlators and transport in quantum systems, we present our results on second-order non-conformal hydrodynamics. We derive new Kubo formulae for five s...
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| Format: | Thesis |
| Language: | English |
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2017
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| _version_ | 1826286294053945344 |
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| author | Probst, J |
| author2 | Starinets, A |
| author_facet | Starinets, A Probst, J |
| author_sort | Probst, J |
| collection | OXFORD |
| description | This thesis investigates applications of the gauge/gravity duality to strongly coupled quantum field theories. After a review of the duality and of correlators and transport in quantum systems, we present our results on second-order non-conformal hydrodynamics. We derive new Kubo formulae for five second-order transport coefficients in non-conformal relativistic fluids. We then apply these Kubo formulae to a class of non-conformal holographic fluids at infinite coupling. We find strong evidence that the Haack-Yarom identity, known to relate second-order coefficients in conformal holographic fluids at infinite coupling, continues to hold in holographic fluids without conformal symmetry: Within our class of models, we prove that it still holds when leading non-conformal corrections are taken into account, and we show numerically that it is also obeyed beyond leading order. This provides further evidence that the identity may be a universal feature of strongly coupled fluids. Next, we present our results on magnetic spin impurities in strongly correlated systems. We build a holographic two-impurity Kondo model, identifying the inter-impurity interaction as double-trace deformation. Our numerical results for the phase diagram suggest a quantum phase transition between a trivial phase with uncorrelated spins and no Kondo screening, and a non-trivial phase with anti-ferromagnetic correlations and simultaneous Kondo screening. Computing the spectrum in the single-impurity case, we observe Fano resonances, which at low temperatures we identify with the Kondo resonance. |
| first_indexed | 2024-03-07T01:41:37Z |
| format | Thesis |
| id | oxford-uuid:970c6e71-371f-442f-94c9-8f1fffc8a4f7 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T01:41:37Z |
| publishDate | 2017 |
| record_format | dspace |
| spelling | oxford-uuid:970c6e71-371f-442f-94c9-8f1fffc8a4f72022-03-26T23:56:57ZApplications of the gauge/gravity dualityThesishttp://purl.org/coar/resource_type/c_db06uuid:970c6e71-371f-442f-94c9-8f1fffc8a4f7Theoretical physicsEnglishORA Deposit2017Probst, JStarinets, AThis thesis investigates applications of the gauge/gravity duality to strongly coupled quantum field theories. After a review of the duality and of correlators and transport in quantum systems, we present our results on second-order non-conformal hydrodynamics. We derive new Kubo formulae for five second-order transport coefficients in non-conformal relativistic fluids. We then apply these Kubo formulae to a class of non-conformal holographic fluids at infinite coupling. We find strong evidence that the Haack-Yarom identity, known to relate second-order coefficients in conformal holographic fluids at infinite coupling, continues to hold in holographic fluids without conformal symmetry: Within our class of models, we prove that it still holds when leading non-conformal corrections are taken into account, and we show numerically that it is also obeyed beyond leading order. This provides further evidence that the identity may be a universal feature of strongly coupled fluids. Next, we present our results on magnetic spin impurities in strongly correlated systems. We build a holographic two-impurity Kondo model, identifying the inter-impurity interaction as double-trace deformation. Our numerical results for the phase diagram suggest a quantum phase transition between a trivial phase with uncorrelated spins and no Kondo screening, and a non-trivial phase with anti-ferromagnetic correlations and simultaneous Kondo screening. Computing the spectrum in the single-impurity case, we observe Fano resonances, which at low temperatures we identify with the Kondo resonance. |
| spellingShingle | Theoretical physics Probst, J Applications of the gauge/gravity duality |
| title | Applications of the gauge/gravity duality |
| title_full | Applications of the gauge/gravity duality |
| title_fullStr | Applications of the gauge/gravity duality |
| title_full_unstemmed | Applications of the gauge/gravity duality |
| title_short | Applications of the gauge/gravity duality |
| title_sort | applications of the gauge gravity duality |
| topic | Theoretical physics |
| work_keys_str_mv | AT probstj applicationsofthegaugegravityduality |