Basics in mathematics and physics : a bridge between mathematicians and physicists
Author(s)
Bibliographic Information
Basics in mathematics and physics : a bridge between mathematicians and physicists
（Quantum field theory / Eberhard Zeidler, 1）
Springer, c2009
Corr. 2nd printing
- : hard
Related Bibliography 1 items
Available at / 15 libraries
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The Institute for Solid State Physics Library. The University of Tokyo.図書室
: hard421.3:Q80:17210298852
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Note
"In this edition, I made minor revisions and updated the references ... "--Preface to the corrected second printing
Includes bibliographical references (p. [975]-1019) and indexes.
Description and Table of Contents
Description
This is the first volume of a modern introduction to quantum field theory which addresses both mathematicians and physicists, at levels ranging from advanced undergraduate students to professional scientists. The book bridges the acknowledged gap between the different languages used by mathematicians and physicists. For students of mathematics the author shows that detailed knowledge of the physical background helps to motivate the mathematical subjects and to discover interesting interrelationships between quite different mathematical topics. For students of physics, fairly advanced mathematics is presented, which goes beyond the usual curriculum in physics.
Table of Contents
Preface.- Part I. Introduction.- Prologue.- 1. Historical Introduction.- 2. Phenomenology of the Standard Model for Elementary Particles.- 3. The Challenge of Different Scales in Nature.- Part II. Basic Techniques in Mathematics.- 4. Analyticity.- 5. A Glance at Topology.- 6. Many-Particle Systems in Mathematics and Physics.- 7. Rigorous Finite-Dimensional Magic Formulas of Quantum Field Theory.- 8. Rigorous Finite-Dimensional Perturbation Theory.- 9. Fermions and the Calculus for Grassmann Variables.- 10. Infinite-Dimensional Hilbert Spaces.- 11. Distributions and Green's Functions.- 12. Distributions and Physics.- Part III. Heuristic Magic Formulas of Quantum Field Theory.- 13. Basic Strategies in Quantum Field Theory.- 14. The Response Approach.- 15. The Operator Approach.- 16. Peculiarities of Gauge Theories.- 17. A Panorama of the Literature.- Appendix.- Epilogue.- References.- List of Symbols.- Index.
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