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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
Applications in Rigorous Quantum Field Theory

Applications in Rigorous Quantum Field Theory

Hiroshima, Fumio
Lörinczi, József

Hardcover

Series: de Gruyter Studies in Mathematics, Book 34

General MathematicsProbability & Statistics

ISBN10: 3110403501
ISBN13: 9783110403503
Publisher: de Gruyter
Published: Mar 9 2020
Pages: 557
Weight: 2.45
Height: 1.40 Width: 6.80 Depth: 9.60
Language: English

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.

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