Holographic Fluctuation-Dissipation Relations in Finite Density Systems

التفاصيل البيبلوغرافية
العنوان: Holographic Fluctuation-Dissipation Relations in Finite Density Systems
المؤلفون: Sharma, Shivam K.
سنة النشر: 2025
المجموعة: Condensed Matter
General Relativity and Quantum Cosmology
High Energy Physics - Theory
مصطلحات موضوعية: High Energy Physics - Theory, Condensed Matter - Statistical Mechanics, General Relativity and Quantum Cosmology
الوصف: Using real-time holography, we investigate fluctuation-dissipation relations in holographic systems at finite density. In the bulk, it corresponds to the study of scattering of charged scalar field against a charged black hole background and derives an exterior field theory outside the AdS Reissner-Nordstr\"om black hole. This theory captures dissipation (from infalling Quasi-normal modes) and fluctuations (from Hawking radiation). Here, we also develop a Witten diagrammatic framework for computing $n$-point functions for interacting charged scalars. From the boundary perspective, it gives real-time correlations of the dual CFT held at finite temperature and finite chemical potential. Our results yield (non)-linear holographic fluctuation-dissipation relations at finite density, which are shown to recover the correct behaviour in the zero-density limit.
Comment: 22 pages + appendices, 4 figures
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2501.17852
رقم الانضمام: edsarx.2501.17852
قاعدة البيانات: arXiv