Perturbation Expansions in Axiomatic Field Theory

1971 ◽  
Keyword(s):  
Field Theory ◽  
Perturbation Expansions ◽  
Axiomatic Field Theory

An example of a divergent perturbation expansion in field theory

1952 ◽  
Vol 48 (4) ◽  
pp. 625-639 ◽  
Author(s):  
C. A. Hurst
Keyword(s):  
Field Theory ◽  
Lower Bound ◽  
Contact Interaction ◽  
General Problem ◽  
Rest Mass ◽  
Perturbation Expansion ◽  
Field Theories ◽  
Coupling Constant ◽  
Perturbation Expansions ◽  
Irreducible Graphs

AbstractThe convergence of the perturbation expansion for the S-matrix in interaction representation of a three-boson contact interaction is investigated. A lower bound is obtained for the integrals corresponding to irreducible graphs when the total rest mass of the system is insufficient for bare particles to be created. It is shown that in this case the perturbation expansion cannot converge no matter what value the coupling constant has. A discussion is given of the bearing of this result on the general problem of the convergence of perturbation expansions for the S-matrix in renormalized field theories.

What is the point of so‐called “axiomatic field theory”?

Physics Today ◽  
1969 ◽  
Vol 22 (9) ◽  
pp. 53-58 ◽  
Author(s):  
Arthur S. Wightman
Keyword(s):  
Field Theory ◽  
Axiomatic Field Theory

Axiomatic field theory in terms of operator Jacobi matrices

1971 ◽  
Vol 8 (2) ◽  
pp. 754-765 ◽  
Author(s):  
Yu. M. Berezanskii ◽  
V. D. Koshmanenko
Keyword(s):  
Field Theory ◽  
Jacobi Matrices ◽  
Axiomatic Field Theory

Whither Axiomatic Field Theory?

1969 ◽  
Vol 41 (4) ◽  
pp. 576-580 ◽  
Author(s):  
ARTHUR M. JAFFE
Keyword(s):  
Field Theory ◽  
Axiomatic Field Theory
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