1. Perturbative quantum field theory and Feynman diagrams. 1.1. A calculus exercise in Feynman integrals. 1.2. From Lagrangian to effective action. 1.3. Feynman rules. 1.4. Simplifying graphs : vacuum bubbles, connected graphs. 1.5. One-particle-irreducible graphs. 1.6. The prob…
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.
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 …
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 …
Stochastic integration -- Random variation -- Integration and probability -- Stochastic processes -- Brownian motion -- Stochastic sums -- Gauges for product spaces -- Quantum field theory -- Quantum electrodynamics.
Stochastic integration -- Random variation -- Integration and probability -- Stochastic processes -- Brownian motion -- Stochastic sums -- Gauges for product spaces -- Quantum field theory -- Quantum electrodynamics.
"This textbook on Feynman integrals starts from the basics, requiring only knowledge of special relativity and undergraduate mathematics. Feynman integrals are indispensable for precision calculations in quantum field theory. At the same time, they are also fascinating from a ma…
"This textbook on Feynman integrals starts from the basics, requiring only knowledge of special relativity and undergraduate mathematics. Feynman integrals are indispensable for precision calculations in quantum field theory. At the same time, they are also fascinating from a ma…
