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Despite its long history and stunning experimental successes, the mathematical foundation of perturbative quantum field theory is still a subject of ongoing research. This book aims at presenting some of the most recent advances in the field, and at reflecting the diversity of approaches and tools invented and currently employed. Both leading experts and comparative newcomers to the field present their latest findings, helping readers to gain a better understanding of not only quantum but also classical field theories. Though the book offers a valuable resource for mathematicians and physicists alike, the focus is more on mathematical developments. This volume consists of four parts: The first Part covers local aspects of perturbative quantum field theory, with an emphasis on the axiomatization of the algebra behind the operator product expansion. The second Part highlights Chern-Simons gauge theories, while the third examines (semi-)classical field theories. In closing, Part 4 addresses factorization homology and factorization algebras.

Physics. --- Quantum Field Theories, String Theory. --- Mathematical Physics. --- History and Philosophical Foundations of Physics. --- Mathematical Applications in the Physical Sciences. --- Physique --- Physics --- Physical Sciences & Mathematics --- Atomic Physics --- Quantum field theory --- Quantum field theory. --- Mathematical physics. --- Mathematical models. --- Physical mathematics --- Relativistic quantum field theory --- Mathematics --- String theory. --- Field theory (Physics) --- Quantum theory --- Relativity (Physics) --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics --- Models, String --- String theory --- Nuclear reactions

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Bergbeklimmen --- Klimmen --- Sportklimmen