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From Classical to Quantum Fields
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From Classical to Quantum Fields

 Taschenbuch
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ISBN-13:
9780198788409
Einband:
Taschenbuch
Seiten:
960
Autor:
Laurent Baulieu
Gewicht:
1776 g
Format:
245x170x43 mm
Sprache:
Englisch
Beschreibung:

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 describe and understand the fundamental interactions of elementary particles.
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 describe and understand the fundamental interactions of elementary particles.
1 Introduction; 2 Relativistic Invariance; 3 The Electromagnetic Field; 4 General relativity: A Field Theory of Gravitation; 5 The Physical States; 6 Relativistic Wave Equations; 7 Towards a Relativistic Quantum Mechanics; 8 Functional Integrals and Probabilistic Amplitudes; 9 Functional Integrals and Quantum Mechanics: Formal Developments; 10 The Euclidean Functional Integrals; 11 Fermions and Functional Formalism; 12 Relativistic Quantum Fields; 13 Applications; 14 Geometry and Quantum Dynamics; 15 Broken Symmetries; 16 Quantum Field Theory at Higher Orders; 17 A First Glance at Renormalisation and Symmetry; 18 Renormalisation of Yang-Mills Theory and BRST Symmetry; 19 Some Consequences of the Renormalisation Group; 20 Analyticity Properties of Feynman Diagrams; 21 Infrared Singularities; 22 Coherent States and Classical Limit of Quantum Electrodynamics; 23 Quantum Field Theories with a Large Number of Fields; 24 The Existence of Field Theories beyond the Perturbation Expansion; 25 Fundamental Interactions; 26 Beyond the Standard Model; 27 Supersymmetry, or the Defense of Scalars; Appendix A Tensor Calculus; Appendix B Differential Calculus; Appendix C Groups and Lie Algebras; Appendix D A collection of Useful Formulae; Appendix E Extract from Maxwell's A Treatise on Electricity and Magnetism
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 describe and understand the fundamental interactions of elementary particles. The book begins with a brief reminder of basic classical field theories, electrodynamics and general relativity, as well as their symmetry properties, and proceeds with the principles ofquantisation following Feynman's path integral approach. Special care is used at every step to illustrate the correct mathematical formulation of the underlying assumptions. Gauge theories and the problems encountered in their quantisation are discussed in detail. The last chapters contain a full description ofthe Standard Model of particle physics and the attempts to go beyond it, such as grand unified theories and supersymmetry. Written for advanced undergraduate and beginning graduate students in physics and mathematics, the book could also serve as a reference for active researchers in the field.

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