1 / 14

Exploring Conductivity in Non-Commutative Holographic QCD within AdS/CFT Framework

This work delves into the study of conductivity within the context of non-commutative holographic QCD using the AdS/CFT correspondence. We investigate both low and high temperature scenarios in the Sakai-Sugimoto model, examining the implications of confinement and deconfinement phase transitions. The approach emphasizes how charge carriers—both explicitly introduced and thermally produced—contribute to conductivity in a strongly coupled thermal field theory. Our findings shed light on the fundamental properties of gauge theory and gravity duality, particularly under varying temperature conditions.

dulcea
Télécharger la présentation

Exploring Conductivity in Non-Commutative Holographic QCD within AdS/CFT Framework

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Conductivity and non-commutative holographic QCD M. Ali-Akbari School of physics, IPM, Iran Sixth Crete regional meeting in string theory Milos, 2011

  2. Outline Conductivity from AdS/CFT Sakai-Sugimoto model 2-1. Low temperature 2-2. High temperature 3. Conductivity 2-1. At low temperature 2-2. At high temperature

  3. AdS/CFT Strongly coupled gauge theory (QCD) + flavor Gravity + D-brane • Supersymmetric background. • Confinment-Deconfinment phase transition.

  4. Gauge theory side Gravity side 1. Strongly coupled thermal field theory. 2. Charge carriers introduced explicitly. 3. Electric filed. 4. Conductivity . AdS Sch. BH Time component of gauge field on D7-branes ( ). 3. Spatial component of gauge field. 4. Karch and A.O'Bannon, “Metallic AdS/CFT,’’ [arXiv:0705.3870 [hep-th]].

  5. Conductivity in AdS Sch. Background (Massless case) Charge carriers introduced explicitly by Charge carriers thermally produced. By setting , we still have conductivity.

  6. Sakai-Sugimoto background Low temperature SS-model Confined phase. Chiral symmetry is broken. Non-commutative low temperature SS-model [1] T. Sakai and S. Sugimoto, ``Low energy hadron physics in holographic QCD,'‘ [hep-th/0412141]. [2] O. Aharony, J. Sonnenschein and S. Yankielowicz, ``A Holographic model of deconfinement and chiral symmetry restoration,'' [hep-th/0604161].

  7. High temperature SS-model Deconfined phase. Chiral symmetry is restored (intermdiate state). Noncommutative high temperature SS-model

  8. Conductivity DBI action D8-branes Induced metric and B-field B-field in background Ansatz

  9. Action Equation of motion for gauge field Solution for gauge field

  10. Reality condition and conductivity equations Root of the first equation Conductivity

  11. Reality condition and conductivity equations Roots Conductivity (Thermal case)

  12. A more general backgroud Ansatz DBI action

  13. New ansatz DBI action conductivity equations Roots Conductivity

  14. Commutative case Non-commutative case

More Related