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Modeling networks as different graph types and researching on route finding strategies, to avoid congestion in dense subnetworks via graph-theoretic approaches, contributes to overall blocking probability reduction in networks. Our main…

Networking and Internet Architecture · Computer Science 2021-03-12 Zohre R. Mojaveri , András Faragó

We propose a novel diagrammatic method for computing transport coefficients in relativistic quantum field theory. The self-consistent equation for summing the diagrams with pinch singularities has a form of a linearized kinetic equation as…

High Energy Physics - Phenomenology · Physics 2011-04-22 Yoshimasa Hidaka , Teiji Kunihiro

Edge bundling is an important concept heavily used for graph visualization purposes. To enable the comparison with other established near-planarity models in graph drawing, we formulate a new edge-bundling model which is inspired by the…

Computational Geometry · Computer Science 2018-09-10 Patrizio Angelini , Michael A. Bekos , Michael Kaufmann , Philipp Kindermann , Thomas Schneck

We explore the symmetry structure of Type II Little String Theories and their T-dualities. We construct these theories both from the bottom-up perspective starting with seed Superconformal Field Theories, and from the top-down using…

High Energy Physics - Theory · Physics 2024-05-08 Florent Baume , Paul-Konstantin Oehlmann , Fabian Ruehle

Compound graphs are networks in which vertices can be grouped into larger subsets, with these subsets capable of further grouping, resulting in a nesting that can be many levels deep. In several applications, including biological workflows,…

Human-Computer Interaction · Computer Science 2024-08-09 Chang Han , Justin Lieffers , Clayton Morrison , Katherine E. Isaacs

We prove some results about the model theory of fields with a derivation of the Frobenius map, especially that the model companion of this theory is axiomatizable by axioms used by Wood in the case of the theory $\operatorname{DCF}_p$ and…

Logic · Mathematics 2021-05-14 Jakub Gogolok

We present a general theory for the construction of witnesses that detect genuine multipartite entanglement in graph states. First, we present explicit witnesses for all graph states of up to six qubits which are better than all criteria so…

Quantum Physics · Physics 2011-10-26 Bastian Jungnitsch , Tobias Moroder , Otfried Gühne

We discuss the quantization of theories which are formulated using compensating fields. In particular, we discuss the relation between the components formulation and the superspace formulation of supergravity theories. The requirement that…

High Energy Physics - Theory · Physics 2009-10-22 Yigal Shamir

The study of network representations of physical, biological, and social phenomena can help us better understand the structural and functional dynamics of their networks and formulate predictive models of these phenomena. However, due to…

Social and Information Networks · Computer Science 2019-05-14 Varsha Chauhan , Alexander Gutfraind , Ilya Safro

The diverse quantization phenomena in 2D condensed-matter systems, being due to a uniform perpendicular magnetic field and the geometry-created lattice symmetries, are the focuses of this book. They cover the diversified magneto-electronic…

Computational Physics · Physics 2019-05-09 Chiun-Yan Lin , Thi-Nga Do , Jhao-Ying Wu , Po-Hsin Shih , Shih-Yang Lin , Ching-Hong Ho , Ming-Fa Lin

We develop the perturbation theory of double field theory around arbitrary solutions of its field equations. The exact gauge transformations are written in a manifestly background covariant way and contain at most quadratic terms in the…

High Energy Physics - Theory · Physics 2016-02-03 Olaf Hohm , Diego Marques

Properties of steady compressible flow for which geometric constraints have been placed on the potential function are derived, under hypotheses on the flow density and the singular set. Some related unconstrained problems are also…

Mathematical Physics · Physics 2007-05-23 Thomas H. Otway

We investigate the entanglement of the ground state in the quantum networks that their nodes are considered as quantum harmonic oscillators. To this aim, the Schmidt numbers and entanglement entropy between two arbitrary partitions of a…

Quantum Physics · Physics 2016-11-25 M. A. Jafarizadeh , S. Nami , F. Eghbalifam

In this paper, we present several density-type theorems which show how to find a copy of a sparse bipartite graph in a graph of positive density. Our results imply several new bounds for classical problems in graph Ramsey theory and improve…

Combinatorics · Mathematics 2007-11-12 Jacob Fox , Benny Sudakov

We study the quantization of systems that contain both ordinary fields with a positive norm and their counterparts obeying different statistics. The systems have novel fermionic symmetries different from the space-time supersymmetry and the…

High Energy Physics - Theory · Physics 2015-02-24 Yoshiharu Kawamura

While in first and second quantization the fundamental operators are respectively coordinates and fields (functions), an extension of quantum field theory can be achieved if the usual pair of conjugate momenta is represented by functionals.…

High Energy Physics - Phenomenology · Physics 2007-05-23 Francesco Caravaglios

The history of the geometry of Double Field Theory is the history of string theorists' effort to tame higher geometric structures. In this spirit, the first part of this paper will contain a brief overview on the literature of geometry of…

High Energy Physics - Theory · Physics 2021-05-24 Luigi Alfonsi

We show that the lightcone worldsheet formalism, constructed to represent the sum of the bare planar diagrams of scalar \phi^3 field theory, survives the renormalization procedure in space-time dimensions D not greater than 6. Specifically…

High Energy Physics - Theory · Physics 2009-11-10 Charles B. Thorn

Present day quantum field theory (QFT) is founded on canonical quantization, which has served quite well, but also has led to several issues. The free field describing a free particle (with no interaction term) can suddenly become…

General Physics · Physics 2021-08-13 John R. Klauder

An algebraic formalism, developped with V. Glaser and R. Stora for the study of the generalized retarded functions of quantum field theory, is used to prove a factorization theorem which provides a complete description of the generalized…

High Energy Physics - Theory · Physics 2016-04-27 Henri Epstein