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Methods of Quantum Field Theory with Rapidly Increasing Spectral Functions
Author(s) -
Volkov M. K.
Publication year - 1971
Publication title -
fortschritte der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.469
H-Index - 71
eISSN - 1521-3978
pISSN - 0015-8208
DOI - 10.1002/prop.19710191103
Subject(s) - scattering amplitude , physics , quantum field theory , field (mathematics) , scattering , amplitude , space (punctuation) , scattering theory , function (biology) , gravitation , classical field theory , field theory (psychology) , quantum , theoretical physics , quantum mechanics , gravitational field , quantum electrodynamics , mathematical physics , mathematics , pure mathematics , linguistics , philosophy , evolutionary biology , biology
A review of the methods of constructing the scattering amplitudes and Green functions in the non‐renormalizable quantum field theories with rapidly increasing spectral functions is given. Such theories as the theories with the chiral Lagrangians, those which describe the interactions with gravitational fields and the theories of weak interactions can be taken as examples. Three big groups of these methods are presented here. In particular, these are as follows: construction of the scattering amplitude in x ‐space (the function F ( x )), construction of the scattering amplitude in momentum space (the function F ˜ ( p )) and definition of the scattering amplitudes by solving the appropriate equations (in x ‐ or p ‐Space). This works was reported at the Second International Symposium on Non‐local Quantum Field Theory in 1970 at Azau, USSR.