شماره راهنما :
1545 دكتري
پديد آورنده :
بخشايي قرق آقايي، الهه
عنوان :
آنتروپي درهمتنيدگي و پيچيدگي زيرناحيه هولوگرافيك در سطوح تكين
گرايش تحصيلي :
ذرات بنيادي
محل تحصيل :
اصفهان : دانشگاه صنعتي اصفهان
صفحه شمار :
هشت،96، 29ص. : مصور، جدول، نمودار
استاد راهنما :
احمد شيرزاد
استاد مشاور :
بهروز ميرزا
توصيفگر ها :
آنتروپي درهم تنيدگي , تناظر AdS/CFT , پيچيدگي هولوگرافيك زيرحوزه
استاد داور :
مسلم زارعي، علي مهديفر ،محمد رضا محمدي مظفر
تاريخ ورود اطلاعات :
1398/11/16
تاريخ ويرايش اطلاعات :
1398/11/20
چكيده انگليسي :
Holographic entanglement entropy and subregion complexity for singular surfaces Elaheh Bakhshaei ghoroghaghaei e bakhshae@ph iut ac ir Date of submission 2019 08 19 Department of Physics Isfahan University of Technology Isfahan 84156 83111 IranDegree Phd Language PersianSupervisor Prof Dr Ahmad ShirzadAbstractHolographic entanglement entropy subregion complexity and some related topics are introduced atthe beginning of this thesis Then we study different families of singular subregions in the dual fieldtheory and find the divergence structure and universal terms of holographic subregion complexity forthese singular surfaces We find that there is new universal terms logarithmic in the UV cut off dueto the singularities for a family of surfaces including a kink in 2 1 dimension and cones in evendimensional field theories We also find examples of new divergent structures such as quadratic inlogarithm of the UV cut off and also negative powers of the UV cut off times its logarithm Ourresults show new divergence terms in comparison with smooth subregions for some singular surfaceswith flat locus In the framework of the AdS CFT correspondence imposing a scalar field in the bulk space timeleads to deform the corresponding CFT in the boundary which may produce corrections to entangle ment entropy as well as the so called subregion complexity We have computed such corrections for aset of singular subregions including kink cones and creases in different dimensions Our calculationsshows new singular terms including universal logarithmic corrections for entanglement entropy andsubregion complexity for some distinct values of conformal weight Keywords Holographic entanglement entropy Subregion complexity AdS CFT correspondence
استاد راهنما :
احمد شيرزاد
استاد مشاور :
بهروز ميرزا
استاد داور :
مسلم زارعي، علي مهديفر ،محمد رضا محمدي مظفر