Correlation functions of U($N$)-tensor models and their Schwinger–Dyson equations
نویسندگان
چکیده
We analyse the correlation functions of $\mathrm{U}(N)$-tensor models (or complex tensor models), which turn out to be classified by boundary graphs, and use Ward-Takahashi identity graph calculus developed in [Commun. Math. Phys. (2018) 358: 589] order derive complete tower exact, analytic Schwinger-Dyson equations for with connected graphs. write them explicitly ranks $D=3$ $D=4$. Throughout, we follow a non-perturbative approach Tensor (Group) Field Theories. propose extension this program Gurau-Witten model, holographic model based on Sachdev-Ye-Kitaev (SYK model).
منابع مشابه
Niho Type Cross-Correlation Functions and Related Equations Niho Type Cross-Correlation Functions and Related Equations
متن کامل
existence and approximate $l^{p}$ and continuous solution of nonlinear integral equations of the hammerstein and volterra types
بسیاری از پدیده ها در جهان ما اساساً غیرخطی هستند، و توسط معادلات غیرخطی بیان شده اند. از آنجا که ظهور کامپیوترهای رقمی با عملکرد بالا، حل مسایل خطی را آسان تر می کند. با این حال، به طور کلی به دست آوردن جوابهای دقیق از مسایل غیرخطی دشوار است. روش عددی، به طور کلی محاسبه پیچیده مسایل غیرخطی را اداره می کند. با این حال، دادن نقاط به یک منحنی و به دست آوردن منحنی کامل که اغلب پرهزینه و ...
15 صفحه اولPresentation of two models for the numerical analysis of fractional integro-differential equations and their comparison
In this paper, we exhibit two methods to numerically solve the fractional integro differential equations and then proceed to compare the results of their applications on different problems. For this purpose, at first shifted Jacobi polynomials are introduced and then operational matrices of the shifted Jacobi polynomials are stated. Then these equations are solved by two methods: Caputo fractio...
متن کاملarchitecture and engineering of nanoscale sculptured thin films and determination of their properties
چکیده ندارد.
15 صفحه اولQuantum Global Strings and Their Correlation Functions
A full quantum description of global vortex strings is presented in the framework of a pure Higgs system with a broken global U(1) symmetry in 3+1D. An explicit expression for the string creation operator is obtained, both in terms of the Higgs field and in the dual formulation where a Kalb-Ramond antisymmetric tensor gauge field is employed as the basic field. The quantum string correlation fu...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Annales de l’Institut Henri Poincaré D
سال: 2021
ISSN: ['2308-5827', '2308-5835']
DOI: https://doi.org/10.4171/aihpd/107