Applications in Rigorous Quantum Field Theory (De Gruyter Studies in Mathematics, 34/2) - Hardcover

Hiroshima, Fumio; Lörinczi, József

Hardcover

ISBN 10: 3110403501 ISBN 13: 9783110403503

Publisher: De Gruyter, 2020

Synopsis

This two-volume work established itself as a standard reference serving both as a self-contained, advanced textbook, and as a research tool.

 

Volume 2 covers fundamental models of the non-relativistic and relativistic quantum fi eld theory of an electrically charged particle coupled to a boson fi eld such as the Nelson model (scalar coupling), the Pauli-Fierz model (vector coupling), as well as related matters such as the Spin Boson model and the Rabi model. By constructing Gibbs measures on Schwartz distribution-valued sample paths, a systematic study of the existence, uniqueness and properties of ground states in these models will be presented. The rigorous framework described will serve as a point of departure for further research, developing cutting-edge mathematical tools such as analysis on infinite dimensional spaces or distribution-valued stochastic processes with continuous paths or jumps, offering a user-friendly presentation suitable for individual or group study.

 

In the present edition a new section on the Rabi model was added.

About this title

About the Author

József Lorinczi, Loughborough University, UK; Fumio Hiroshima, University of Kyushu, Fukuoka, Japan.

Edition details

• Publisher: De Gruyter
• Publication date: 2020
• Language: English
• ISBN 10: 3110403501
• ISBN 13: 9783110403503
• Binding: Hardcover
• Edition number: 2
• Number of pages: 557