Classical Theory of Gauge Fields by Valery Rubakov (PDF)

Description

Based on a highly regarded lecture course at Moscow State University, this is a clear and systematic introduction to gauge field theory. It is unique in providing the means to master gauge field theory prior to the advanced study of quantum mechanics. Though gauge field theory is typically included in courses on quantum field theory, many of its ideas and results can be understood at the classical or semi-classical level. Accordingly, this book is organized so that its early chapters require no special knowledge of quantum mechanics. Aspects of gauge field theory relying on quantum mechanics are introduced only later and in a graduated fashion–making the text ideal for students studying gauge field theory and quantum mechanics simultaneously. The book begins with the basic concepts on which gauge field theory is built. It introduces gauge-invariant Lagrangians and describes the spectra of linear perturbations, including perturbations above nontrivial ground states. The second part focuses on the construction and interpretation of classical solutions that exist entirely due to the nonlinearity of field equations: solitons, bounces, instantons, and sphalerons. The third section considers some of the interesting effects that appear due to interactions of fermions with topological scalar and gauge fields. Mathematical digressions and numerous problems are included throughout. An appendix sketches the role of instantons as saddle points of Euclidean functional integral and related topics. Perfectly suited as an advanced undergraduate or beginning graduate text, this book is an excellent starting point for anyone seeking to understand gauge fields.

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐This book is very valuable for anyone trying to access gauge theory. It will also help you to see the proximity of gauge theory and gtr and qft. It very pedagocical and easy to read. You will find aha:s on almost every other page. Fantastic.If all scientific books were written in this way.

⭐Very readable book for QFT learner. If you want to familiar with some group and symmetry aspect in QFT, I suggest use this book as a starter.

⭐If you are reading this review you are probably familiar with field theory and learned it in a quantum field theory class or book. If not go ahead and read THIS book, it is a must BEFORE a QFT a class. I wish I had it a few years ago, I would learn QFT much easier. Still it clarified a lot of things and recommended for every theoretical physics student. You will at least recognize what is related to quantum aspects and what is not.

⭐This work, which is not so well-known, gives a goodintroduction in gauge field theory. Starting from scalarfields quickly more advanced subjects such as magnetic monopoles, the higgs mechanism and spontaneous symmetry breaking are discussed.The work contains nice overviews of the mathematics of Lie groups and Lie algebras and has a number of useful exercises.

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