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Postulates of Quantum Field Theory
Abstract
We give a survey of the postulates which provide the framework of quantum field theory. Particular attention is given to the lesser known ones, namely, completeness requirements and ``primitive causality.'' Three field theoretical models are analyzed. These examples show that ``primitive causality'' is not a consequence of the commonly used postulates (which include the ``causal commutation relations''). ``Asymptotic completeness'' is not assured by any of the other postulates listed. In the formulation and analysis the concept of operator rings associated with space-time regions is used extensively.
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Citations
Cited by
An algebraic approach to quantum field theory
Haag, R., & Kastler, D. (1964) · Journal of Mathematical Physics · doi:10.1063/1.1704187 · Cited by 1,250
Self-citationSelection Rules for Parafields and the Absence of Para Particles in Nature
Greenberg, O. W., & Messiah, A. M. L. (1965) · Physical Review · doi:10.1103/physrev.138.b1155 · Cited by 367
Operations and measurements. II
Hellwig, K. E., & Kraus, K. (1970) · Communications in Mathematical Physics · doi:10.1007/bf01646620 · Cited by 143
Metadata
- Authors
- Haag, R., & Schroer, B.
- Venue
- Journal of Mathematical Physics
- Publisher
- AIP Publishing
- Published
- 1962-03-01
- Volume
- 3
- Issue
- 2
- Pages
- 248-256
- ISSN
- 0022-2488 (ISSN-L)
- 1089-7658
- OpenAlex
- W1533303596
- Cited by
- 199
- References
- 0
- FWCI
- 12.67
- Type
- journal article
- Language
- en
- Open access
- closed
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Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
