Field algebras in quantum theory with indefinite metric. II. Formulation of a modular theory in Pontryagin space

1985 ◽  
Vol 62 (1) ◽  
pp. 21-30 ◽  
Author(s):  
K. Yu. Dadashyan ◽  
S. S. Khoruzhii
Keyword(s):  
Quantum Theory ◽  
Indefinite Metric ◽  
Pontryagin Space ◽  
Modular Theory

Confinement and Radical Unification in Functional Quantum Theory of the Nonlinear Spinorfield

1981 ◽  
Vol 36 (8) ◽  
pp. 785-788 ◽  
Author(s):  
H. Stumpf
Keyword(s):  
Quantum Theory ◽  
Close Connection ◽  
Composite Particles ◽  
Indefinite Metric ◽  
Probabilistic Interpretation

Abstract The conditions are discussed under which in functional quantum theory of the nonlinear spinorfield with indefinite metric the probabilistic interpretation can be restored. This leads to a close connection of confinement, composite particles and the new subquark models of matter.

scholarly journals Quantum Theory of Massive Yang-Mills Fields. I: Basis of Formulation with Indefinite Metric

1981 ◽  
Vol 66 (5) ◽  
pp. 1827-1842 ◽  
Author(s):  
T. Fukuda ◽  
M. Monda ◽  
M. Takeda ◽  
K.-i. Yokoyama
Keyword(s):  
Quantum Theory ◽  
Indefinite Metric ◽  
Yang Mills

Field algebras in quantum theory with indefinite metric. IV

1987 ◽  
Vol 72 (3) ◽  
pp. 921-929
Author(s):  
K. Yu. Dadashyan ◽  
S. S. Khoruzhii
Keyword(s):  
Quantum Theory ◽  
Indefinite Metric

On field algebras in quantum theory with indefinite metric

1983 ◽  
Vol 54 (1) ◽  
pp. 35-48 ◽  
Author(s):  
K. Yu. Dadashyan ◽  
S. S. Khoruzhii
Keyword(s):  
Quantum Theory ◽  
Indefinite Metric

Zur Interpretierbarkeit einer Quantentheorie mit indefiniter Metrik

1962 ◽  
Vol 17 (5) ◽  
pp. 382-399
Author(s):  
Rolf Hüper
Keyword(s):  
Boundary Condition ◽  
Quantum Theory ◽  
Theoretical Model ◽  
Bound States ◽  
Indefinite Metric ◽  
Probability Interpretation ◽  
Lee Model ◽  
Field Theoretical Model

A special field theoretical model is constructed to study the problem of probability interpretation of a quantum theory with indefinite metric. The model is based on the HEISENBERG dipole-ghost version of the LEE model, but with an additional V Θ-interaction. This interaction yields bound states in the sector N+2 Θ. One gets a situation similar to a case studied by PAULI and KÄLLÉN. It seems that the arising difficulty can be solved only by means of a boundary condition suggested by BOGOLIUBOV. However, such a condition excludes the possibility of interpreting our bound states as “physically realizable” states.

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