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The Global Approach to Quantum Field Theory: 2-Volume Set

New. Sprache: Englisch.
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This new volume takes a complete look at how classical field theory, quantum mechanics and quantum field theory are interrelated. It takes a global approach and discusses the importance of quantization by relating it to different theories such as tre … weiterlesen
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Produktdetails

Titel: The Global Approach to Quantum Field Theory: 2-Volume Set
Autor/en: Bryce S. DeWitt

ISBN: 0198510934
EAN: 9780198510932
New.
Sprache: Englisch.
OXFORD UNIV PR

Mai 2003 - gebunden - 1136 Seiten

Beschreibung

This new volume takes a complete look at how classical field theory, quantum mechanics and quantum field theory are interrelated. It takes a global approach and discusses the importance of quantization by relating it to different theories such as tree amplitude and conservation laws. There are special chapters devoted to Euclideanization and renormalization, space and time inversion and the closed-time-path formalism.

Inhaltsverzeichnis

1. FUNDAMENTALS; 2. Dynamics and invariance transformations; 3. Small disturbances and Green's functions; 4. The Peierls bracket; 5. Finite disturbances. Tree theorems. Asymptotic fields; 6. Conservation laws; 7. CLASSICAL THEORY OF MEASUREMENT; 8. Quantum theory of measurement; 9. Interpretation of the quantum formalism I; 10. The Schwinger variational principle; 11. The quantum mechanics of standard canonical systems; 12. Interpretation of the quantum formalism II; 13. THE FUNCTIONAL INTEGRAL FOR STANDARD CANONICAL SYSTEMS; 14. Approximation and evaluation of the path integral; 15. The nonrelativistic particle in a curved space; 16. The heat kernel; 17. LINEAR BOSON FIELDS IN STATIONARY BACKGROUNDS; 18. Quantization of linear boson fields; 19. Linear fermion fields. Stationary backgrounds; 20. Quantization of linear fermion fields; 21. Linear fields in nonstationary backgrounds; 22. Linear (or linearized) fields possessing invariant flows; 23. THE EFFECTIVE ACTION, THE S-MATRIX, AND SLAVNOV-TAYLOR IDENTITIES; 24. Gauge theories I. General formalism; 25. Gauge theories II. Background Field Methods. Scattering Theory; 26. Case-I gauge theory without ghosts. Description of cases II and III; 27. THE HEAT KERNEL; 28. Vacuum currents. Anomalies; 29. More vacuum phenomena; 30. Black hole vacua. Hawking radiation; 31. The closed-time-path or 'in-in' formalism; 32. EUCLIDEANIZATION AND RENORMALIZATION; 33. Canonical transformations. Space inversion and time reversal; 34. Quantum electrodynamics; 35. The Yang-Mills and gravitational fields; X0 THE NONRELATIVISTIC PARTICLE IN FLAT SPACE; X1 A simple Fermi system; X2 A Fermi doublet; X3 Fermi multiplet; X4 The Fermi oscillator; X5 The Bose oscillator; X6 A fourth-order system; X7 A model for ghosts; X8 Free scalar field in flat spacetime; X9 Massive vector field in four dimensional flat spacetime; X10 Massive antisymmetric tensor field; X11 Massive symmetric tensor field in flat spacetime; X12 Massive spinor field in flat spacetime; X13 Massive spin-3/2 field in flat spacetime; X14 Elecromagnetic field in flat spacetime; X15 Massless symmetric tensor field in flat spacetime; X16 Massless spinor field in four dimensional flat spacetime; X17 Massless spin-3/2 field in four dimensional flat spacetime; X18 Renormalization group and spontaneous symmetry breaking in the (lambda phi) to the fourth power model; X19 The relativistic particle in Minkowski spacetime; X20 A simple soluble nonlinear model; X21 Quantum mechanics on a circle; X22 Quantum mechanics on a Klein bottle; X23 Ghosts for ghosts; X24 Massive antisymmetric tensor field; A. Appendix A; B. Appendix B; C. Appendix C; D. Appendix D; E. Appendix E; F. Appendix F

Portrait

Prof. Bryce DeWitt
2411 Vista Lane
Austin, Texas 78703
dewitt@physics.utexas.edu
tel: 001-512-478-6037
fax: 001-512-471-0890

Birthplace: Dinuba, California, 8 January 1923

Pressestimmen

The book's presentation is very impressive. Conceptual problems are elegantly exhibited and there is an inner coherent logic of exposition that could only come from someone who had long and deeply reflected on the subject, and made important contributions to it. CERN Courier This book is one of the best books dealing with quantum field theory existing today. It will be of great interest for graduate and postgraduate students as well as workers in the domains of quantum field theory in flat and in curved spacetime and string theories ... share the deep and unique vision of the quantum theory of fields and its formalism by one of its greatest expositors. Journal of Physics ... should be particularly useful for quantum field theorists (especially students), theoretical physicists and mathematicians with an interest in physics. CERN Courier

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