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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Feynman-Kac-Type Theorems and Gibbs Measures on Path Space: Applications in Rigorous Quantum Field Theory

Feynman-Kac-Type Theorems and Gibbs Measures on Path Space: Applications in Rigorous Quantum Field Theory

Hiroshima, Fumio
Lőrinczi, József

Hardcover

Series: de Gruyter Studies in Mathematics, Book 34

General MathematicsProbability & Statistics

ISBN10: 3112231481
ISBN13: 9783112231487
Publisher: de Gruyter
Published: Aug 17 2026
Pages: 606
Weight: 2.55
Height: 1.31 Width: 6.69 Depth: 9.61
Language: English

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.

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