Logo - springer
Slogan - springer

Physics - Theoretical, Mathematical & Computational Physics | Quantum Field Theory I: Basics in Mathematics and Physics - A Bridge between Mathematicians and

Quantum Field Theory I: Basics in Mathematics and Physics

A Bridge between Mathematicians and Physicists

Zeidler, Eberhard

2006, XXIV, 1052 p. 94 illus.

Available Formats:
eBook
Information

Springer eBooks may be purchased by end-customers only and are sold without copy protection (DRM free). Instead, all eBooks include personalized watermarks. This means you can read the Springer eBooks across numerous devices such as Laptops, eReaders, and tablets.

You can pay for Springer eBooks with Visa, Mastercard, American Express or Paypal.

After the purchase you can directly download the eBook file or read it online in our Springer eBook Reader. Furthermore your eBook will be stored in your MySpringer account. So you can always re-download your eBooks.

 
$109.00

(net) price for USA

ISBN 978-3-540-34764-4

digitally watermarked, no DRM

Included Format: PDF

download immediately after purchase


learn more about Springer eBooks

add to marked items

Hardcover
Information

Hardcover version

You can pay for Springer Books with Visa, Mastercard, American Express or Paypal.

Standard shipping is free of charge for individual customers.

 
$139.00

(net) price for USA

ISBN 978-3-540-34762-0

free shipping for individuals worldwide

usually dispatched within 3 to 5 business days


add to marked items

This is the first volume of a modern introduction to quantum field theory which addresses both mathematicians and physicists ranging from advanced undergraduate students to professional scientists. The book tries to bridge the existing gap between the different languages used by mathematicians and physicists. For students of mathematics it is shown 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 is beyond the usual curriculum in physics. It is the author's goal to present the state of the art of realizing Einstein's dream of a unified theory for the four fundamental forces in the universe (gravitational, electromagnetic, strong, and weak interaction).

From the reviews:

"… Quantum field theory is one of the great intellectual edifices in the history of human thought. … This volume differs from other books on quantum field theory in its greater emphasis on the interaction of physics with mathematics. … an impressive work of scholarship."

(William G. Faris, SIAM Review, Vol. 50 (2), 2008)

 "… it is a fun book for practicing quantum field theorists to browse, and it may be similarly enjoyed by mathematical colleagues. Its ultimate value may lie in encouraging students to enter this challenging interdisciplinary area of mathematics and physics. Summing Up: Recommended. Upper-division undergraduates through faculty."

(M. C. Ogilvie, CHOICE, Vol. 44 (9), May, 2007)

Content Level » Research

Keywords » Distribution - Finite - Hilbert space - Operator - Topology - Variable - functional analysis - general relativity - linear optimization - mathematical physics - mathematics - model - particle physics - quantum field theory - statistical mechanics

Related subjects » Analysis - Dynamical Systems & Differential Equations - Particle and Nuclear Physics - Theoretical, Mathematical & Computational Physics

Table of contents / Sample pages 

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.

Popular Content within this publication 

 

Articles

Read this Book on Springerlink

Services for this book

New Book Alert

Get alerted on new Springer publications in the subject area of Theoretical, Mathematical and Computational Physics.