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    Simulating Quantum Field Theories on Gate-Based Quantum Computers by Gayathree M. Vinod, Anil Shaji

    Published 2024-01-01
    “…We implement a simulation of a quantum field theory in 1+1 space–time dimensions on a gate-based quantum computer using the light-front formulation of the theory. …”
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    Effective field theory approach to lepton number violating decays K±→ π∓l±l±: short-distance contribution by Yi Liao, Xiao-Dong Ma, Hao-Lin Wang

    Published 2020-01-01
    “…In this work we investigate the decays K±→ π∓l±l± that arise from short-distance or contact interactions involving four quark fields and two charged lepton fields, which have canonical dimension nine (dim-9) at leading order in low energy effective field theory (LEFT). We make a complete analysis on the basis of all dim-9 operators that violate lepton number by two units, and compute their one-loop QCD renormalization effects. …”
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    Boundary control problem with an infinite number of variables by Hussain A. El-Saify

    Published 2001-01-01
    “…Using a previous result by Gali and El-Saify (1983) and the theory of Kotarski (1989), and Lions (1971), we formulate the boundary control problem for a system governed by Neumann problem involving selfadjoint elliptic operator of 2ℓth order with an infinite number of variables. …”
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    Problems for combinatorial numbers satisfying a class of triangular arrays by Igoris Belovas

    Published 2023-11-01
    “…In this work, we derive the general analytic expression of the numbers satisfying a class of triangular arrays and propose problems (both teaching and unsolved ones) for undergraduates studying probability theory and analytical combinatorics subjects in the study programs of the fields of mathematics and computer science. …”
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    Towards Noncommutative Linking Numbers via the Seiberg-Witten Map by H. García-Compeán, O. Obregón, R. Santos-Silva

    Published 2015-01-01
    “…Moreover the linking number of a standard 1-cycle with the Poincaré dual of the gauge field is shown to be written as an expansion of the linking number of this 1-cycle with the Poincaré dual of the Seiberg-Witten gauge fields. …”
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    Constructive Field Theory in Zero Dimension by V. Rivasseau

    Published 2009-01-01
    “…In this pedagogical note we propose to wander through five different methods to compute the number of connected graphs of the zero-dimensional 𝜙4 field theory, in increasing order of sophistication and power.…”
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    Theory of hypernumbers and extrafunctions: Functional spaces and differentiation by Mark Burgin

    Published 2002-01-01
    “…The theory of hypernumbers and extrafunctions is a novel approach in functional analysis aimed at problems of mathematical and computational physics. …”
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    Backtesting Quantum Computing Algorithms for Portfolio Optimization by Gines Carrascal, Paula Hernamperez, Guillermo Botella, Alberto del Barrio

    Published 2024-01-01
    “…In portfolio theory, the investment portfolio optimization problem is one of those problems whose complexity grows exponentially with the number of assets. …”
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    The Adjacency Matrix of One Type of Directed Graph and the Jacobsthal Numbers and Their Determinantal Representation by Fatih Yılmaz, Durmuş Bozkurt

    Published 2012-01-01
    “…Recently there is huge interest in graph theory and intensive study on computing integer powers of matrices. …”
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    Computational Swarming: A Cultural Technique for Generative Architecture by Sebastian Vehlken

    Published 2014-11-01
    “…By taking advantage of the self-organisational capabilities of computational agent collectives whose global behaviour emerges from the local interaction of a large number of relatively simple individuals (as it does, for instance, in animal swarms), architects are able to understand buildings and urbanscapes in a novel way as complex spaces that are constituted by the movement of multiple material and informational elements. …”
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    The electroweak effective field theory from on-shell amplitudes by Gauthier Durieux, Teppei Kitahara, Yael Shadmi, Yaniv Weiss

    Published 2020-01-01
    “…We supplement our bottom-up derivations with a matching of three- and fourpoint amplitude coefficients onto the standard-model effective field theory (SMEFT) in the broken electroweak phase. This establishes the correspondence with the usual Lagrangian approach and paves the way for SMEFT computations in the on-shell formalism.…”
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