THE FORMULATION OF THE QUANTUM FIELD THEORY WITHOUT LAGRANGE FORMALISMS (in German)
It is investigated to what extent the quantum theory of elementary particles can be built up by using the following principle only: There exlsts an irreducible representation of the algebra of creation and annihillation operators a+, a, and the infinitesimal transformations of the inhomogeneous Lorentz group can be constructed out of them. The representation of the inhomogeneous Lorentz group can then be split up in irreducible ones classified by Wigner and describing different sorts of elementary particles. Space-time dependence of all operators is introduced by a unitary transformation of a+, a. Energy-momenturn tensors and charge-current vectors are found without use of fields. Fields and field equations, corresponding to the various sorts of elementary particles, may also be set up but are dispensable. Interactions are introduced as unitary transformations of a/sup +/, a, mixing the irreducible representations of the Lorentz group. This corresponds to in general non-local interaction terms in the Lagrange formallsm. (auth)
- Research Organization:
- Univ. of Erlangen, Germany
- NSA Number:
- NSA-12-017903
- OSTI ID:
- 4301959
- Journal Information:
- Nuovo Cimento (Italy) Divided into Nuovo Cimento A and Nuovo Cimento B, Journal Name: Nuovo Cimento (Italy) Divided into Nuovo Cimento A and Nuovo Cimento B Vol. Vol: (10) 9; ISSN NUCIA
- Country of Publication:
- Country unknown/Code not available
- Language:
- German
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Related Subjects
CONFIGURATION-- CURRENTS-- DIFFERENTIAL EQUATIONS-- ELECTRIC CHARGES-- ELEMENTARY PARTICLES-- ENERGY-- FIELD THEORY-- INTERACTIONS-- LAGRANGIAN-- LORENTZ TRANSFORMATIONS-- MATHEMATICS-- MOMENTUM-- RELATIVITY THEORY- - TENSORS-- UNITARY SYMMETRY-- VECTORS
PHYSICS