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Description
The series de Gruyter Studies in Mathematics was founded in 1982 by the late Professor Heinz Bauer and Professor Peter Gabriel.
The series publishes monographs and textbooks in mathematics and its applications. Apart from covering important areas of current interest, a major aim is to make topics of an interdisciplinary nature accessible to the non-specialist.
Each volume undergoes peer review using a double-blind reviewing process
The 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 field theory of an electrically charged particle coupled to a boson field 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.
New section on Rabi model has been added.
Professor Dr. József Lörinczi, Alfréd Rényi Institute of Mathematics, Budapest, Hungary; Professor Dr. Fumio Hiroshima, Faculty of Mathematics, Kyushu University, Fukuoka, Japan; Professor Dr. Volker Betz, Technical University Darmstadt, Mathematics, Darmstadt, Germany.
