Green's Functions and Ordered Exponentials

Erscheinungsjahr 2005
ISBN: 978-0-521-44862-8
Verlag: Cambridge University Press

Buch, Englisch, 181 Seiten, Format (B × H): 152 mm x 229 mm, Gewicht: 276 g

This book presents a functional approach to the construction, use and approximation of Green's functions and their associated ordered exponentials. After a brief historical introduction, the author discusses new solutions to problems involving particle production in crossed laser fields and non-constant electric fields. Applications to problems in potential theory and quantum field theory are covered, along with approximations for the treatment of color fluctuations in high-energy QCD scattering, and a model for summing classes of eikonal graphs in high-energy scattering problems. The book also presents a variant of the Fradkin representation which suggests a new non-perturbative approximation scheme, and provides a qualitative measure of the error involved in each such approximation. Covering the basics as well as more advanced applications, this book is suitable for graduate students and researchers in a wide range of fields, including quantum field theory, fluid dynamics and applied mathematics.

Autoren/Hrsg.

Fried, H. M.

Fachgebiete

• Naturwissenschaften Physik Physik Allgemein Geschichte der Physik
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Naturwissenschaften Physik Angewandte Physik Statistische Physik, Dynamische Systeme
• Naturwissenschaften Physik Physik Allgemein Experimentalphysik
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Computeranwendungen in der Mathematik
• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik

Inhaltsverzeichnis

Preface; 1. Introduction; 2. Elementary functional methods; 3. Schwinger-Fradkin methods; 4. Lasers and crossed lasers; 5. Special variants of the Fradkin representation; 6. Quantum chaos and vectorial interactions; 7. Infrared approximations; 8. Models of high-energy, non-Abelian scattering; 9. Unitary ordered exponentials.