vbid/9783540347644

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1 Da� ich erkenne, was die Welt im Innersten zusammenh� alt. Faust Concepts without intuition are empty, intuition without concepts is blind. Immanuel Kant (1724�1804) The greatest mathematicians like Archimedes, Newton, and Gauss have always been able to combine theory and applications into one. Felix Klein (1849�1925) The present comprehensive introduction to the mathematical and physical aspects of quantum ?eld theory consists of the following six volumes: Volume I: Basics in Mathematics and Physics Volume II: Quantum Electrodynamics Volume III: Gauge Theory Volume IV: Quantum Mathematics Volume V: The Physics of the Standard Model Volume VI: Quantum Gravity and String Theory. Since ancient times, both physicists and mathematicians have tried to und- stand the forces acting in nature. Nowadays we know that there exist four fundamental forces in nature: � Newton�s gravitational force, � Maxwell�s electromagnetic force, � the strong force between elementary particles, and � the weak force between elementary particles (e.g., the force responsible for the radioactive decay of atoms). In the 20th century, physicists established two basic models, namely, � the Standard Model in cosmology based on Einstein�s theory of general relativity, and � the Standard Model in elementary particle physics based on gauge theory. 1 So that I may perceive whatever holds the world together in its inmost folds.Typham this is the title: Quantum Field Theory I: Basics in Mathematics and Physics A Bridge between Mathematicians and Physicists