Scattering matrix for some non-polynomial interactions. I

Journal Article · Mon Jan 01 04:00:00 EST 1973 · Helv. Phys. Acta, v. 46, no. 4, pp. 504-534

OSTI ID:4376778

Albeverio, S; Hoeegh-Krohn, R

The study of quantum field theoretical models is continued in n dimensional space-- time with interaction densities which are bounded functions of an ultraviolet cut-off boson field. For the scattering matrix of the space cut-off interaction, constructed in terms of asymptotic fields, analyticity in the coupling constant lambda and convergence of the linked cluster expansion for sufficiently small lambda are proven. The correlation functions and imaginary time Wightman functions for the infinite volume limit constructed previously are also proved to have a linked cluster expansion, convergent for sufficiently small values of lambda . This is then used, together with the results on the space cut-off S-matrix, to establish the existence and analyticity in lambda of the irfinite volume scattering functions and to prove reduction formulas for the infinite Wightman functions. (auth)

• Research Organization: Univ. of Oslo
• NSA Number: NSA-29-008867
• OSTI ID: 4376778
• Journal Information: Helv. Phys. Acta, v. 46, no. 4, pp. 504-534, Journal Name: Helv. Phys. Acta, v. 46, no. 4, pp. 504-534; ISSN HPACA
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

*QUANTUM FIELD THEORY-- S MATRIX
BOSONS
BOUNDARY CONDITIONS
CORRELATION FUNCTIONS
COUPLING CONSTANTS
INTERACTIONS
N64500* --Physics (High Energy)--Scattering Theory
N76200 - -Physics (Theoretical)--Quantum Field Theories
SPACE-TIME
VOLUME
WIGHTMAN FIELD THEORY