Quantum Field Theory I: Basics in Mathematics and Physics : A Bridge between Mathematicians and Physicists. 1st ed. 2006

種類:

電子ブック

責任表示:

by Eberhard Zeidler

出版情報:

Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2006

著者名:

• Zeidler, Eberhard.
• SpringerLink (Online service)

ISBN:

9783540347644 [354034764X]    

注記:

Prologue -- Historical Introduction -- Phenomenology of the Standard Model for Elementary Particles -- The Challenge of Different Scales in Nature -- Basic Techniques in Mathematics -- Analyticity -- A Glance at Topology -- Many-Particle Systems in Mathematics and Physics -- Rigorous Finite-Dimensional Magic Formulas of Quantum Field Theory -- Rigorous Finite-Dimensional Perturbation Theory -- Fermions and the Calculus for Grassmann Variables -- Infinite-Dimensional Hilbert Spaces -- Distributions and Green’s Functions -- Distributions and Physics -- Heuristic Magic Formulas of Quantum Field Theory -- Basic Strategies in Quantum Field Theory -- The Response Approach -- The Operator Approach -- Peculiarities of Gauge Theories -- A Panorama of the Literature.
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 bo

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