Quantum Field Theory

The DeGruyter Studies in Mathematical Physics are devoted to the publication of monographs and high-level texts in mathematical physics. They cover topics and methods in fields of current interest, with an emphasis on didactical presentation. The series will enable readers to understand, apply and develop further, with sufficient rigor, mathematical methods to given problems in physics. For this reason, works with a few authors are preferred over edited volumes. The works in this series are aimed at advanced students and researchers in mathematical and theoretical physics. They also can serve as secondary reading for lectures and seminars at advanced levels.

This book discusses the main concepts of the Standard Model of elementary particles in a compact and straightforward way. The work illustrates the unity of modern theoretical physics by combining approaches and concepts of the quantum field theory and modern condensed matter theory. The inductive approach allows a deep understanding of ideas and methods used for solving problems in this field.

Autorentext

Michael V. Sadovskii, Institute for Electrophysics, Russian Academy of Sciences, Russia.

Zusammenfassung

"In fact, it is an excellent textbook for a first encounter with the basic structure of QFT [...]. [...] for those who wish to explore the connections with condensed matter physics this book is ideal." Zentralblatt für Mathematik

Inhalt

I. Basics of Elementary Particles II. Lagrange formalism III. Canonical quantization IV. Feynman Theory of Positrons V. Scattering Matrix VI. Invariant Perturbation Theory VII. Exact Propagators and Vertices VIII. Some Applications IX. Path Integrals and Quantum Theory X. Scalars and Spinors XI. Gauge Fields XII. Weinberg-Salam Model XIII. Renormalization XIV. Non-Pertubative Approaches