Hiroshima / Lörinczi Feynman-Kac-Type Theorems and Gibbs Measures on Path Space

Applications in Rigorous Quantum Field Theory
2. revidierte ed
ISBN: 978-3-11-040360-2
Verlag: De Gruyter
Format: EPUB
Kopierschutz: 6 - ePub Watermark

E-Book, Englisch, Band 34/2, 557 Seiten

Reihe: De Gruyter Studies in MathematicsISSN

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.

Autoren/Hrsg.

Hiroshima, Fumio

Lörinczi, József

Fachgebiete

• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
• Mathematik | Informatik Mathematik Stochastik

Über Autor(innen)

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