CONTRIBUTION TO FIELD THEORY WITH NONLOCAL INTERACTION. III. DIAGRAM TECHNIQUE (in Russian)
Rules for construction of the matrix elements in nonlocal field theory are formulated. The rules differ from the usual ones in that a form factor is included in the vertex part of the diagram, an obligatory condition being that in evaluating the integrals by the residue method the form factor singularities should not be taken into account. Analytical properties of the matrix elements are investigated, and the appearance of specific singularities whose position does not depend on the elementary length is noted. It is pointed out that the Green functions constructed from Heisenberg and in-operators of the field are not identical. This leads to appearance of complex singularities in the self energy part. The validity of the Lehmann--- Symanzik--Zimmermann reduction formula for scattering matrix elements in nonlocal field theory is elucidated. (auth)
- Research Organization:
- Lebedev Inst. of Physics, Moscow
- NSA Number:
- NSA-18-011022
- OSTI ID:
- 4100973
- Journal Information:
- Zh. Eksperim. i Teor. Fiz., Vol. Vol: 45; Other Information: Orig. Receipt Date: 31-DEC-64
- Country of Publication:
- Country unknown/Code not available
- Language:
- Russian
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