Out-of-time-order correlator as a detector of baryonic phase structure in holographic QCD with instanton

التفاصيل البيبلوغرافية
العنوان: Out-of-time-order correlator as a detector of baryonic phase structure in holographic QCD with instanton
المؤلفون: Li, Si-wen, Zhang, Yi-peng, Li, Hao-qian
سنة النشر: 2024
المجموعة: High Energy Physics - Theory
مصطلحات موضوعية: High Energy Physics - Theory
الوصف: We study the out-of-time-order correlators (OTOC) of Skyrmion as baryon in the D0-D4/D8 model which is expected to be holographically dual to QCD with instantons as D0-branes or with a non-zero theta angle. Baryon states are identified to the excitations of the Skyrmion which are described by a holographic quantum mechanical system in this model. By employing the definition of OTOC in quantum mechanics, we derive the formulas and demonstrate explicitly the numerical calculations of the OTOC. Our calculation illustrates the quantum OTOC with imaginary Lyapunov coefficient indicates the possibly metastable baryonic status in the presence of the instanton while the classical OTOC can not, thus it reveals the instantonic or theta-dependent features of QCD are dominated basically by its quantum properties. Furthermore, the OTOC also implies the baryonic phase becomes really chaotic with real Lyapunov exponent if the instanton charge increases sufficiently which agrees with the unstable baryon spectrum presented in this model. In this sense, we believe the OTOC may be treated as a tool to detect the baryonic phase structure of QCD.
Comment: 20 pages, 5 Figures
نوع الوثيقة: Working Paper
DOI: 10.1016/j.physletb.2024.138972
URL الوصول: http://arxiv.org/abs/2403.07335
رقم الأكسشن: edsarx.2403.07335
قاعدة البيانات: arXiv
الوصف
DOI:10.1016/j.physletb.2024.138972