FEYNMAN MOTIVES

FEYNMAN MOTIVES

CONTENTS


FRONT MATTER Matilde Marcolli	i
Perturbative quantum field theory and Feynman diagrams Matilde Marcolli	1
Motives and periods Matilde Marcolli	25
Feynman integrals and algebraic varieties Matilde Marcolli	53
Feynman integrals and Gelfand–Leray forms Matilde Marcolli	119
Connes—Kreimer theory in a nutshell Matilde Marcolli	127
The Riemann–Hilbert correspondence Matilde Marcolli	143
The geometry of DimReg Matilde Marcolli	151
Renormalization, singularities, and Hodge structures Matilde Marcolli	167
Beyond scalar theories Matilde Marcolli	185
BACK MATTER Matilde Marcolli	207
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