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From classical to quantum fields

Author: Laurent Baulieu; Jean Iliopoulos; Roland Seneor
Publisher: Oxford Oxford University Press 2018
Edition/Format:   Print book : English : Reprinted with correctionsView all editions and formats
Summary:

Quantum Field Theory has become the universal language of most modern theoretical physics. This introductory textbook shows how this beautiful theory offers the correct mathematical framework to  Read more...

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Document Type: Book
All Authors / Contributors: Laurent Baulieu; Jean Iliopoulos; Roland Seneor
ISBN: 9780198788393 0198788398 9780198788409 0198788401
OCLC Number: 1098201714
Description: xvii, 931 Seiten : Illustrationen
Contents: 1: Introduction2: Relativistic Invariance3: The Electromagnetic Field4: General relativity: A Field Theory of Gravitation5: The Physical States6: Relativistic Wave Equations7: Towards a Relativistic Quantum Mechanics8: Functional Integrals and Probabilistic Amplitudes9: Functional Integrals and Quantum Mechanics: Formal Developments10: The Euclidean Functional Integrals11: Fermions and Functional Formalism12: Relativistic Quantum Fields13: Applications14: Geometry and Quantum Dynamics15: Broken Symmetries16: Quantum Field Theory at Higher Orders17: A First Glance at Renormalisation and Symmetry18: Renormalisation of Yang-Mills Theory and BRST Symmetry19: Some Consequences of the Renormalisation Group20: Analyticity Properties of Feynman Diagrams21: Infrared Singularities22: Coherent States and Classical Limit of Quantum Electrodynamics23: Quantum Field Theories with a Large Number of Fields24: The Existence of Field Theories beyond the Perturbation Expansion25: Fundamental Interactions26: Beyond the Standard Model27: Supersymmetry, or the Defense of ScalarsAppendix A: Tensor CalculusAppendix B: Differential CalculusAppendix C: Groups and Lie AlgebrasAppendix D: A collection of Useful FormulaeAppendix E: Extract from Maxwell's A Treatise on Electricity and Magnetism
Responsibility: Laurent Baulieu (CNRS ans Sorbonne Universités), John Iliopoulos (CNRS and École Normale Supérieure, Roland Sénéor (CNRS and École Polytechnique.

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This is a major contribution to the literature. Starting out with very elementary considerations, it proceeds to reach some of the frontiers in the field. From Classical to Quantum Fields is a Read more...

 
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