Matches in SemOpenAlex for { <https://semopenalex.org/work/W2018554790> ?p ?o ?g. }
- W2018554790 endingPage "3430" @default.
- W2018554790 startingPage "3411" @default.
- W2018554790 abstract "Relativistic field theories with nonlocal interaction are investigated. This is essentially done in terms of the action principle with a generalized variation method previously developed by the author. That a classical theory of the above type has a canonical structure, at least for the perturbative solutions in terms of the asymptotic free fields, was once shown by Pauli. The in and out fields, for example, are equally good choices of canonical variables. A fundamental quantization in the Heisenberg picture is, therefore, Yang-Feldman-Kall'en quantization method. However, since the interacting fields never can be canonical variables, owing to the nonlocality in time, the classical expressions of the Poincar'e generators (properly symmetrized) are no longer conserved and have no longer the right generator properties in the quantum case for any nonlinear model. There exist, however, new generators which are conserved and which have the right generator properties. These generators may be derived from the action principle by means of $q$-number variations instead of $c$-number variations. However, these generators are not uniquely determined. In particular it is shown that any nonlinear model has an in and an out representation of the generators which are different in terms of the interacting fields. They can, therefore, only be equal because of some particular property of the field equations. Explicit calculations are performed for a particular model due to Kristensen and Mo{}ller (a nonlocalized Yukawa coupling). For this model it is shown that the in and out representations indeed are different (in the fourth order in the coupling constant) even for the charge-symmetric version of the model. (The properties under the discrete transformations $C$, $P$, and $T$ are also considered.) This implies that the field equations do not yield unique quantum solutions and in particular that the solutions with canonical incoming free fields are different from the solutions with canonical outgoing free fields, and none of these solutions render the total action stationary. No meaningful $S$ matrix can therefore be defined. It is also shown that this deficiency cannot be corrected either by restricting the form function or by adding correction terms to the perturbation expansions." @default.
- W2018554790 created "2016-06-24" @default.
- W2018554790 creator A5055890742 @default.
- W2018554790 date "1974-11-15" @default.
- W2018554790 modified "2023-09-24" @default.
- W2018554790 title "Can theSmatrix be defined in relativistic quantum field theories with nonlocal interaction?" @default.
- W2018554790 cites W1530200451 @default.
- W2018554790 cites W1977909270 @default.
- W2018554790 cites W1997093580 @default.
- W2018554790 cites W2000432571 @default.
- W2018554790 cites W2003036511 @default.
- W2018554790 cites W2006437200 @default.
- W2018554790 cites W2013294919 @default.
- W2018554790 cites W2015474809 @default.
- W2018554790 cites W2016912905 @default.
- W2018554790 cites W2016998564 @default.
- W2018554790 cites W2027394355 @default.
- W2018554790 cites W2027940825 @default.
- W2018554790 cites W2035793242 @default.
- W2018554790 cites W2036718556 @default.
- W2018554790 cites W2040983373 @default.
- W2018554790 cites W2043675607 @default.
- W2018554790 cites W2056257015 @default.
- W2018554790 cites W2067707909 @default.
- W2018554790 cites W2067857742 @default.
- W2018554790 cites W2069104962 @default.
- W2018554790 cites W2074677125 @default.
- W2018554790 cites W2084246507 @default.
- W2018554790 cites W2087624664 @default.
- W2018554790 cites W2090810998 @default.
- W2018554790 cites W2094755492 @default.
- W2018554790 cites W2104223827 @default.
- W2018554790 cites W2131999670 @default.
- W2018554790 cites W2134769107 @default.
- W2018554790 cites W2142710655 @default.
- W2018554790 cites W2152699552 @default.
- W2018554790 cites W2154985761 @default.
- W2018554790 cites W2394876527 @default.
- W2018554790 cites W4255415159 @default.
- W2018554790 doi "https://doi.org/10.1103/physrevd.10.3411" @default.
- W2018554790 hasPublicationYear "1974" @default.
- W2018554790 type Work @default.
- W2018554790 sameAs 2018554790 @default.
- W2018554790 citedByCount "27" @default.
- W2018554790 countsByYear W20185547902013 @default.
- W2018554790 countsByYear W20185547902014 @default.
- W2018554790 countsByYear W20185547902015 @default.
- W2018554790 countsByYear W20185547902017 @default.
- W2018554790 countsByYear W20185547902019 @default.
- W2018554790 crossrefType "journal-article" @default.
- W2018554790 hasAuthorship W2018554790A5055890742 @default.
- W2018554790 hasConcept C115047598 @default.
- W2018554790 hasConcept C121332964 @default.
- W2018554790 hasConcept C140673361 @default.
- W2018554790 hasConcept C15184713 @default.
- W2018554790 hasConcept C187268509 @default.
- W2018554790 hasConcept C202444582 @default.
- W2018554790 hasConcept C3079626 @default.
- W2018554790 hasConcept C33332235 @default.
- W2018554790 hasConcept C33923547 @default.
- W2018554790 hasConcept C37914503 @default.
- W2018554790 hasConcept C57476683 @default.
- W2018554790 hasConcept C62520636 @default.
- W2018554790 hasConcept C63036615 @default.
- W2018554790 hasConcept C74650414 @default.
- W2018554790 hasConcept C84114770 @default.
- W2018554790 hasConcept C9652623 @default.
- W2018554790 hasConceptScore W2018554790C115047598 @default.
- W2018554790 hasConceptScore W2018554790C121332964 @default.
- W2018554790 hasConceptScore W2018554790C140673361 @default.
- W2018554790 hasConceptScore W2018554790C15184713 @default.
- W2018554790 hasConceptScore W2018554790C187268509 @default.
- W2018554790 hasConceptScore W2018554790C202444582 @default.
- W2018554790 hasConceptScore W2018554790C3079626 @default.
- W2018554790 hasConceptScore W2018554790C33332235 @default.
- W2018554790 hasConceptScore W2018554790C33923547 @default.
- W2018554790 hasConceptScore W2018554790C37914503 @default.
- W2018554790 hasConceptScore W2018554790C57476683 @default.
- W2018554790 hasConceptScore W2018554790C62520636 @default.
- W2018554790 hasConceptScore W2018554790C63036615 @default.
- W2018554790 hasConceptScore W2018554790C74650414 @default.
- W2018554790 hasConceptScore W2018554790C84114770 @default.
- W2018554790 hasConceptScore W2018554790C9652623 @default.
- W2018554790 hasIssue "10" @default.
- W2018554790 hasLocation W20185547901 @default.
- W2018554790 hasOpenAccess W2018554790 @default.
- W2018554790 hasPrimaryLocation W20185547901 @default.
- W2018554790 hasRelatedWork W1540107627 @default.
- W2018554790 hasRelatedWork W1971351418 @default.
- W2018554790 hasRelatedWork W2000139188 @default.
- W2018554790 hasRelatedWork W2002335285 @default.
- W2018554790 hasRelatedWork W2036126733 @default.
- W2018554790 hasRelatedWork W2058291666 @default.
- W2018554790 hasRelatedWork W2592416718 @default.
- W2018554790 hasRelatedWork W2600005989 @default.
- W2018554790 hasRelatedWork W2950692565 @default.
- W2018554790 hasRelatedWork W3023523228 @default.
- W2018554790 hasVolume "10" @default.