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Although more than 60 years have passed since their first appearance, Feynman path integrals have yet to lose their fascination and luster. They are not only a formidable instrument of theoretical physics, but also a mathematical challenge; in fact, several mathematicians in the last 40 years have devoted their efforts to the rigorous mathematical definition of Feynman's ideas. This volume provides a detailed, self-contained description of the mathematical difficulties as well as the possible techniques used to solve these difficulties. In particular, it gives a complete overview of the mathem
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Numerical integration --- Feynman integrals --- Feynman integrals. --- Numerical integration.
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Feynman integrals --- Motives (Mathematics) --- Quantum field theory
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Presents the research work aimed at understanding the mysterious relation between the computations of Feynman integrals in perturbative quantum field theory and the theory of motives of algebraic varieties and their periods.
Feynman integrals. --- Motives (Mathematics) --- Quantum field theory. --- Algebra --- Feynman integrals --- Quantum field theory
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Feynman integrals. --- Feynman diagrams --- Multiple integrals --- Integrals de camí
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Feynman integrals. --- Feynman, Intégrales de --- Théorie quantique
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Feynman integrals. --- Feynman, Intégrales de --- Mathematiques --- Colloque
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