Feynman motives

Feynman motives

by Marcolli, Matilde

Type Book
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This book presents recent and ongoing 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. One of the main questions in the field is understanding when the residues of Feynman integrals in perturbative quantum field theory evaluate to periods of mixed Tate motives. The question originates from the occurrence of multiple zeta values in Fey…

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Title Statements

  • Full title :Feynman motives / Matilde Marcolli.

Summary

This book presents recent and ongoing 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. One of the main questions in the field is understanding when the residues of Feynman integrals in perturbative quantum field theory evaluate to periods of mixed Tate motives. The question originates from the occurrence of multiple zeta values in Feynman integrals calculations observed by Broadhurst and Kreimer. Two different approaches to the subje.

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Edition Statements

  • Publication Date:©2010.

Publication Statements

  • Publisher(s):World Scientific
  • Place of Publication:Hackensack, N.J
  • Language:eng
  • Publication Date:©2010.

The Physical Object

  • Description:1 online resource (xiii, 220 pages) : : illustrations

Edition Identifiers

  • ISBN:9789814271219, 9814271217
  • oclc:ocn694144121
  • LC Classification:QC174.17.F45
  • Dewey Decimal:530.12

Table of Contents

Perturbative Quantum Field Theory and Feynman Diagrams; Motives and Periods; Feynman Integrals and Algebraic Varieties; Feynman Integrals, Singularities, Hodge Structures; Connes-Kreimer Theory in a Nutshell; The Riemann-Hilbert Correspondence; Renormalization and Singularities; Beyond Scalar Theories.

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Subjects

Feynman integrals Intégrales de Feynman Motifs (Mathématiques) Motives (Mathematics) Quantum field theory théorie quantique des champs

Writers

Marcolli, Matilde

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