Remarks on the Application of the Jost-Lehmann-Dyson Representation to Equal-Time Commutators
- Univ. of Pittsburgh, PA (United States)
- Univ. of Hamburg (Germany); Deutsches Elektronen-Synchrotron (DESY), Hamburg (Germany)
It is shown that Jost-Lehmann-Dyson spectral functions for matrix elements of scalar field commutators can lead to the existence of (finite) equal-time commutators with an arbitrary number of gradient terms. The conventional mechanism for the appearance of gradient terms is via the covariant tensor operators acting on the scalar commutator functions. These terms we call of "kinematical origin," whereas the first-mentioned purely scalar mechanism is called "nonkinematical." Finally, this latter possibility seems to have been overlooked in the recent literature.
- Research Organization:
- Univ. of Pittsburgh, PA (United States)
- Sponsoring Organization:
- US Atomic Energy Commission (AEC)
- NSA Number:
- NSA-22-003519
- OSTI ID:
- 4497507
- Report Number(s):
- NYO--3829-5
- Journal Information:
- Physical Review, Journal Name: Physical Review Journal Issue: 5 Vol. 162; ISSN 0031-899X
- Publisher:
- American Physical Society (APS)Copyright Statement
- Country of Publication:
- United States
- Language:
- English
Current commutation relations in the framework of general quantum field theory
|
journal | August 1966 |
Inconsistency of canonical commutation relations among current densities
|
journal | August 1966 |
Integral-Darstellung kausaler Kommutatoren
|
journal | June 1957 |
Field Theory Commutators
|
journal | September 1959 |
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