From Classical to Quantum Fields : An Introduction to the Path Integral Formalism

Seneor, Roland/Baulieu, Laurent/Iliopoulos, Jean

Springer（2016/06発売）

• 製本 Hardcover:ハードカバー版／ページ数 300 p.／サイズ 5 illus.
• 言語 ENG
• 商品コード 9780387400945

基本説明

An advanced text which grew from courses taught at the famous Ecole Polytechnique. Provides a modern approach to field theory, with exercises, questions and hints to assist in understanding the content.

Full Description

This book is an introduction to the modern ways of teaching classical and quantum field theories. A key tool is symmetries. For the resolution of classical theories, special attention is given to the definition of advanced or retarded potentials to ease the understanding of path integrals. The Path integral is used as the conceptual tool for defining the quantum field theories. The classical formalism is presented as a useful way to concretely compute observables that one defines in the path integral framework. The book contains special chapters which are devoted to new domains which have not been presented in other texts. They include constructive quantum field theories and topological field theory.

Contents

Relativistic Invariance.- The Electromagnetic Field.- Physical States.- The Dirac Equation.