THE NATURE OF THE AXIOMS OF RELATIVISTIC QUANTUM FIELD THEORY. PART II

Journal Article · Thu Aug 01 04:00:00 EDT 1963 · Journal of Mathematical Physics (New York) (U.S.)

DOI:https://doi.org/10.1063/1.1704029· OSTI ID:4659725

Sudarshan, E C.G.

The study of the nature and interdependence of the axioms of relativistic field theory is continued; attention is focused on the notion of relativistic invariance. The central result is the derivation of necessary and sufficient conditions for a representation of the covariant free field to admit a unitary representation of the inhomogeneous Lorentz group associated with the field operator. It is shown that only the standard Fock--Cook representation has this property. The relevance of the requirement that the Lorentz group is represented by a unitary family associated with the field operator is exhibited by an analysis of the covariant representations of Shale and Segal. These representations involve extremal states that are not pure, and group representations by intertwinning operators. (auth)

• Research Organization: univ. of Rochester, N.Y.
• Sponsoring Organization: USDOE
• NSA Number: NSA-17-032760
• OSTI ID: 4659725
• Report Number(s): NYO-10258; 0022-2488
• Journal Information: Journal of Mathematical Physics (New York) (U.S.), Journal Name: Journal of Mathematical Physics (New York) (U.S.) Vol. Vol: 4; ISSN JMAPA
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

ELECTROMAGNETIC FIELDS
EQUATIONS
FIELD THEORY
FOCK REPRESENTATION
GROUP THEORY
INVARIANCE PRINCIPLE
LORENTZ TRANSFORMATIONS
MATHEMATICS
OPERATORS
PHYSICS
QUANTUM MECHANICS
RELATIVITY THEORY