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Connections in Classical & Quantum...

by Mangiarotti L

Geometric methods for field theory

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Hardcover New English

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AlbakiReads Editorial

Geometric methods for field theory

Connections in Classical & Quantum Field Theory brings geometric structures into view as tools for understanding classical and quantum field theory. Its 504 pages gather mathematical foundations for different kinds of connections alongside detailed discussion of physical applications, including gauge theories of fundamental fields. The description emphasizes both sides of this relationship: the mathematical framework and the ways it appears in theoretical physics and mechanics. With background material included, the book presents itself as a sustained reference on the links between geometry and physics rather than a narrowly focused introduction to one application.

Good fit for readers who enjoy

  • Graduate students studying mathematical physics or geometry
  • Physicists interested in gauge theory and geometric methods
  • Mathematicians exploring applications of geometry in theoretical physics

Themes

Connections and geometric methodsClassical and quantum field theoryGauge theoriesGeometry and theoretical physics

Based on publisher information and book metadata.

Book overview

Geometrical notions and methods play an important role in both classical and quantum field theory, and a connection is a deep structure which apparently underlies the gauge-theoretical models in field theory and mechanics. This book is an encyclopaedia of modern geometric methods in theoretical physics. It collects together the basic mathematical facts about various types of connections, and provides a detailed exposition of relevant physical applications. It discusses the modern issues concerning the gauge theories of fundamental fields. The authors have tried to give all the necessary mathematical background, thus making the book self-contained.

 

This book should be useful to graduate students, physicists and mathematicians who are interested in the issue of deep interrelations between theoretical physics and geometry.

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