Wyniki wyszukiwania:

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. This collection of basic mathematical facts about various types of connections provides a detailed description of the relevant physical applications. It discusses the modern issues concerning the gauge theories of fundamental interactions. This text presents several levels of complexity, from the elementary to the advanced, and provides a considerable number of exercises. The authors have tried to give...

Contemporary quantum field theory is mainly developed as quantization of classical fields. This book aims to provide a mathematical foundation of Lagrangian classical field theory and its BRST extension for the purpose of quantization. It considers reducible degenerate Lagrangian theories of even and odd fields on an arbitrary smooth manifold.

- The book collects all the advanced methods of quantization in the last decade.
- It presents in a compact way all the necessary up to date mathematical tools to be used in studying quantum problems.