Keywords
- Unitary Representation
- Unitary Group
- Free Field
- Complex Hilbert Space
- Weyl Algebra
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, access via your institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
The indicated results were largely developed in theses at M.I.T. or the University of Chicago, and/or published in articles referred to in the following surveys which I have made
Mathematical problems of relativistic physics. Providence (Amer. Math. Soc.), 1963.
Local non-linear functions of quantum fields. To appear in Proceedings of the Conference in Honor of Marshall H. Stone (Chicago, May, 1968), forthcoming (Springer).
See in particular for some quoted results
M. Weinless, Vacuums of linear quantum fields. To appear in Journal of Functional Analysis.
The basic relevant technical work on non-linear quantum fields includes the following of my papers
Notes towards the construction of non-linear relativistic quantum fields. I. Proc. Nat. Acad. Sci. 57 (1967), 1178–1183.
Non-linear functions of weak processes. To appear in Jour. Funct. Anal.
One of clearest introductions to theoretical physical practice concerning perturbative renormalization theory is
F. Mandl, Introduction to quantum field theory. New York (Interscience), 1959.
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1970 Springer-Verlag
About this paper
Cite this paper
Segal, I.E. (1970). The mathematical theory of quantum fields. In: Taam, C.T. (eds) Lectures in modern analysis and applications II. Lecture Notes in Mathematics, vol 140. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0100065
Download citation
DOI: https://doi.org/10.1007/BFb0100065
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-04929-6
Online ISBN: 978-3-540-36298-2
eBook Packages: Springer Book Archive
