SOME INTEGRAL REPRESENTATIONS IN FIELD THEORY

Journal Article · Wed Mar 16 04:00:00 EST 1960 · Nuovo Cimento (Italy) Divided into Nuovo Cimento A and Nuovo Cimento B

DOI:https://doi.org/10.1007/BF02860200· OSTI ID:4161877

Streater, R F

It is shown that the properties of positive mass and energy, and of causality lead in quantum field theory to problems in the theory of analytic completion. A representation for the double commutator previously proved the most general is stated, and its connection with analytic completion noted. A similar representation for the triple commutator is proved to satisfy causality and the positive mass and energy condition, but is not shown to give all the functions with these properties. A conjecture about the envelopes of holomorphy of domains occurring in the discussion of analytic properties of the four-point Green's function is made. Integral representations for the n-fold multiple commutator are proposed, end for some other combinations of Wightman functions. These representations lead to some results in analytic completion. (auth)

• Research Organization: Imperial Coll. of Science and Tech., London
• Sponsoring Organization: USDOE
• NSA Number: NSA-14-017566
• OSTI ID: 4161877
• Journal Information: Nuovo Cimento (Italy) Divided into Nuovo Cimento A and Nuovo Cimento B, Journal Name: Nuovo Cimento (Italy) Divided into Nuovo Cimento A and Nuovo Cimento B Vol. Vol: (10) 15; ISSN NUCIA
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

DIFFERENTIAL EQUATIONS
ENERGY
FIELD THEORY
GREEN FUNCTION
INTEGRALS
MASS
MATHEMATICS
PHYSICS
QUANTUM MECHANICS
WIGHTMAN FUNCTIONS