Neutrino Transport in Holography Edwan PREAU
Description: Neutrino Transport in Holography Edwan PREAU Collaborators: Elias KIRITSIS (APC), Francesco NITTI (APC) and Matti JÄRVINEN (APCTP) arXiv:2306.00192 171023 Motivation Motivation Formalism for neutrino transport The holographic set-up The
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slide1. Neutrino Transport in Holography Edwan PREAU Collaborators: Elias KIRITSIS (APC), Francesco NITTI (APC) and Matti JÄRVINEN (APCTP) arXiv:2306.00192 17/10/23<br>
slide2. Motivation<br>
slide3. Motivation<br>
slide4. Formalism for neutrino transport<br>
slide5. The holographic set-up<br>
slide6. The holographic correspondence Strongly-coupled quantum field theory in 4D Weakly-curved classical gravitational theory in 5D The boundary of the 5D space (bulk) is the 4D space-time on which the quantum theory is defined<br>
slide7. The Holographic Dictionary Every quantum operator has a dual field in the bulk of same quantum numbers<br>
slide8. The Holographic Set-up<br>
slide9. Background solution<br>
slide10. Summary of parameters<br>
slide11. Holographic calculation of the chiral current 2-point function<br>
slide12. Perturbations of AdS-RN [Son & Starinets ‘02] [Skenderis & van Rees ‘08] Linear response theory Infalling Perturbations of AdS-RN<br>
slide13. Hydrodynamic approximation [Davison & Parnachev ‘13]
[Moitra, Sake & Trivedi ‘21] Conductivity<br>
slide14. Numerical results<br>
slide15. Opacities : comparison with hydro<br>
slide16. Comparison with weak coupling [Iwamoto ‘82]<br>
slide17. Summary and outlook First step towards the description of holographic neutrino transport : toy model of strongly-coupled quark matter
Hydrodynamic behavior
Opacity suppressed compared with the weak coupling result
More work is needed to corroborate these results
Several directions of improvement :
Neutrino rates from neutral current interactions
Transport in an isospin asymmetric medium
More realistic model of holographic QCD<br>
slide18. Thank you !<br>
slide19. Appendix<br>
slide20. A. Details about the formalism for neutrino transport<br>
slide21. Formalism for neutrino transport<br>
slide22. Schwinger-Dyson equation Dirac equation<br>
slide23. B. Large N<br>
slide24. The Holographic Set-up<br>
slide25. C. Details about the perturbations of AdS-RN<br>
slide26. Perturbations of AdS-RN [Son & Starinets ‘02] [Skenderis & van Rees ‘08]<br>
slide27. Perturbations : Symmetries<br>
slide28. Sector decoupled from the metric<br>
slide29. Sector coupled to the metric<br>
slide30. Sector coupled to the metric<br>
slide31. Hydrodynamic approximation Conductivity<br>
slide32. Charged current correlators<br>
slide2. Motivation<br>
slide3. Motivation<br>
slide4. Formalism for neutrino transport<br>
slide5. The holographic set-up<br>
slide6. The holographic correspondence Strongly-coupled quantum field theory in 4D Weakly-curved classical gravitational theory in 5D The boundary of the 5D space (bulk) is the 4D space-time on which the quantum theory is defined<br>
slide7. The Holographic Dictionary Every quantum operator has a dual field in the bulk of same quantum numbers<br>
slide8. The Holographic Set-up<br>
slide9. Background solution<br>
slide10. Summary of parameters<br>
slide11. Holographic calculation of the chiral current 2-point function<br>
slide12. Perturbations of AdS-RN [Son & Starinets ‘02] [Skenderis & van Rees ‘08] Linear response theory Infalling Perturbations of AdS-RN<br>
slide13. Hydrodynamic approximation [Davison & Parnachev ‘13]
[Moitra, Sake & Trivedi ‘21] Conductivity<br>
slide14. Numerical results<br>
slide15. Opacities : comparison with hydro<br>
slide16. Comparison with weak coupling [Iwamoto ‘82]<br>
slide17. Summary and outlook First step towards the description of holographic neutrino transport : toy model of strongly-coupled quark matter
Hydrodynamic behavior
Opacity suppressed compared with the weak coupling result
More work is needed to corroborate these results
Several directions of improvement :
Neutrino rates from neutral current interactions
Transport in an isospin asymmetric medium
More realistic model of holographic QCD<br>
slide18. Thank you !<br>
slide19. Appendix<br>
slide20. A. Details about the formalism for neutrino transport<br>
slide21. Formalism for neutrino transport<br>
slide22. Schwinger-Dyson equation Dirac equation<br>
slide23. B. Large N<br>
slide24. The Holographic Set-up<br>
slide25. C. Details about the perturbations of AdS-RN<br>
slide26. Perturbations of AdS-RN [Son & Starinets ‘02] [Skenderis & van Rees ‘08]<br>
slide27. Perturbations : Symmetries<br>
slide28. Sector decoupled from the metric<br>
slide29. Sector coupled to the metric<br>
slide30. Sector coupled to the metric<br>
slide31. Hydrodynamic approximation Conductivity<br>
slide32. Charged current correlators<br>