Abstract
The calculus of integration by parts, developed in Chapter 9 for finite volume theories; extends to the infinite volume measures dµ constructed in Chapter 11. These basic identities generate series which exhibit regularity and other detailed properties of the quantum field models. The integration by parts identities generate the perturbation expansion of Sections 8.4, 9.4 as well as the high and low temperature expansions studied in Part III and in the literature. These tools allow a detailed investigation of the local (ultraviolet) singularities of the models on the one hand and the large distance (infrared) decoupling on the other.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1987 Springer-Verlag New York Inc.
About this chapter
Cite this chapter
Glimm, J., Jaffe, A. (1987). Regularity and Axioms. In: Quantum Physics. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-4728-9_12
Download citation
DOI: https://doi.org/10.1007/978-1-4612-4728-9_12
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-96477-5
Online ISBN: 978-1-4612-4728-9
eBook Packages: Springer Book Archive