Modular graph functions and odd cuspidal functions. Fourier and Poincaré series
Journal of High Energy Physics, 2019 Modular graph functions are SL(2, ℤ)-invariant functions associated with Feynman graphs of a two-dimensional conformal field theory on a torus of modulus τ. For one-loop graphs they reduce to real analytic Eisenstein series. We obtain the Fourier series,
Eric D’Hoker, Justin Kaidi
doaj +1 more source
Ladder and zig-zag Feynman diagrams, operator formalism and conformal triangles
Journal of High Energy Physics, 2023 We develop an operator approach to the evaluation of multiple integrals for multiloop Feynman massless diagrams. A commutative family of graph building operators H α for ladder diagrams is constructed and investigated.
S. E. Derkachov +2 more
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Design of Strict Control-Lyapunov Functions for Quantum Systems with QND Measurements [PDF]
, 2011 We consider discrete-time quantum systems subject to Quantum Non-Demolition (QND) measurements and controlled by an adjustable unitary evolution between two successive QND measures.
Amini, Hadis +2 more
core +4 more sources
Fast Loop Closure Selection Method with Spatiotemporal Consistency for Multi-Robot Map Fusion
Applied Sciences, 2022 This paper presents a robust method based on graph topology to find the topologically correct and consistent subset of inter-robot relative pose measurements for multi-robot map fusion.
Wei Chen, Jian Sun, Qiang Zheng
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Knot Invariants and New Weight Systems from General 3D TFTs [PDF]
, 2011 We introduce and study the Wilson loops in a general 3D topological field theories (TFTs), and show that the expectation value of Wilson loops also gives knot invariants as in Chern-Simons theory.
Qiu, Jian, Zabzine, Maxim
core +1 more source
Scalar Matter Coupled to Quantum Gravity in the Causal Approach: Finite One-Loop Calculations and Perturbative Gauge Invariance [PDF]
, 1999 Quantum gravity coupled to scalar massive matter fields is investigated within the framework of causal perturbation theory. One-loop calculations include matter loop graviton self-energy and matter self-energy and yield ultraviolet finite and cutoff-free
't Hooft +20 more
core +2 more sources
Extracting Einstein from the loop-level double-copy
Journal of High Energy Physics, 2021 The naive double-copy of (multi) loop amplitudes involving massive matter coupled to gauge theories will generically produce amplitudes in a gravitational theory that contains additional contributions from propagating antisymmetric tensor and dilaton ...
John Joseph M. Carrasco +1 more
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Applications oriented input design for closed-loop system identification: a graph-theory approach
53rd IEEE Conference on Decision and Control, 2014 A new approach to experimental design for identification of closed-loop models is presented. The method considers the design of an experiment by minimizing experimental cost, subject to probabilistic bounds on the input and output signals, and quality constraints on the identified model.
Afrooz Ebadat +4 more
openaire +4 more sources
Unquenched flavor and tropical geometry in strongly coupled Chern-Simons-matter theories [PDF]
, 2011 We study various aspects of the matrix models calculating free energies and Wilson loop observables in supersymmetric Chern-Simons-matter theories on the three-sphere.
A Kapustin +38 more
core +2 more sources
Spanning tree-based algorithm for hydraulic simulation of large-scale water supply networks
Water Science and Engineering, 2010 With the purpose of making calculation more efficient in practical hydraulic simulations, an improved algorithm was proposed and was applied in the practical water distribution field.
Huan-feng Duan, Guo-ping Yu
doaj +1 more source