On representations of canonical commutation relations in indefinite metric quantum field theory

1985 ◽  
Vol 22 (1) ◽  
pp. 71-77
Author(s):  
Lech Jakóbczyk
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Indefinite Metric ◽  
Quantum Field ◽  
Canonical Commutation Relations ◽  
Commutation Relations

Some quantum field theory aspects of the superspace quantization of general relativity

1976 ◽  
Vol 351 (1665) ◽  
pp. 209-232 ◽  
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
General Relativity ◽  
Perturbation Theory ◽  
Constraint Equation ◽  
Mathematical Structure ◽  
Quantum Field ◽  
Canonical Commutation Relations ◽  
Commutation Relations ◽  
The Status

An investigation is started into a possible mathematical structure of the Wheeler-DeWitt superspace quantization of general relativity. The emphasis is placed throughout on quantum field theory aspects of the problem and topics discussed include canonical commutation relations in a triad basis, the status of the constraint equation and the rôle played by perturbation theory.

On the Feynman principle

1955 ◽  
Vol 230 (1181) ◽  
pp. 272-276 ◽  
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Equations Of Motion ◽  
Canonical Formalism ◽  
Quantum Field ◽  
Usual Definition ◽  
Canonical Commutation Relations ◽  
Commutation Relations ◽  
Feynman Amplitudes ◽  
Definition Of

The formulation of quantum field theory in terms of the Feynman principle is discussed. It is shown that the operators defined in terms of this principle satisfy the equations of motion. A definition of canonically conjugate momenta is given in terms of the principle and is shown to be equivalent to the usual definition. The canonical commutation relations are then deduced and the equivalence of this formulation and the canonical formalism is thereby established. The equations for Feynman amplitudes are also obtained. In conclusion some difficulties of the theory and some possible extensions are discussed.

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