A Note on Commutators in Quantized Field Theories

1950 ◽  
Vol 78 (5) ◽  
pp. 613-614 ◽  
Author(s):  
S. Schweber
Keyword(s):  
Field Theories ◽  
Quantized Field

Derivative expansions for affinely quantized field theories. II. Scale-invariant quantization

1992 ◽  
Vol 45 (12) ◽  
pp. 4600-4609
Author(s):  
R. J. Rivers ◽  
C. C. Wong ◽  
Carl M. Bender
Keyword(s):  
Field Theories ◽  
Scale Invariant ◽  
Quantized Field

The self-stress problem and the limits of validity of quantized field theories

1955 ◽  
Vol 2 (6) ◽  
pp. 1282-1296 ◽  
Author(s):  
E. Arnous ◽  
W. Heitler
Keyword(s):  
The Self ◽  
Field Theories ◽  
Stress Problem ◽  
Quantized Field

On the formulation of quantized field theories — II

1957 ◽  
Vol 6 (2) ◽  
pp. 319-333 ◽  
Author(s):  
H. Lehmann ◽  
K. Symanzik ◽  
W. Zimmermann
Keyword(s):  
Field Theories ◽  
Quantized Field

scholarly journals On the divergence difficulty of quantized field theories and the rigorous treatment of radiation reaction

1946 ◽  
Vol 186 (1004) ◽  
pp. 119-147 ◽  
Keyword(s):  
Perturbation Theory ◽  
Expansion Method ◽  
Radiation Reaction ◽  
Field Theories ◽  
Unperturbed System ◽  
Secular Perturbation ◽  
Rigorous Treatment ◽  
Quantized Field

By an orthodox application of the perturbation theory to the general case of a quantized field, it is shown th at the divergence difficulty hitherto encountered arises from a faulty application of the expansion method. The difficulty, in certain cases, disappears if the degeneracy of the unperturbed system is properly treated by the method of secular perturbation. Physically, this amounts to a rigorous treatm ent of the radiation reaction, in such cases where its effect is strong.

A note on the relativistic invariance of quantized field theories

1950 ◽  
Vol 46 (2) ◽  
pp. 316-318
Author(s):  
J. S. de Wet
Keyword(s):  
Present Author ◽  
Higher Order ◽  
Field Theories ◽  
Poisson Brackets ◽  
Relativistic Invariance ◽  
Field Equations ◽  
Commutation Relations ◽  
Generalized Poisson ◽  
Quantized Field

In an earlier paper (1), which will be referred to as A, the present author has demonstrated the relativistic invariance, for general transformations of coordinates, of the Einstein-Bose and Fermi-Dirac quantizations of linear field equations derived from higher order Lagrangians. The proof consisted of the identification of the commutation relations with the generalized Poisson brackets introduced by Weiss (2) and proving the invariance of the latter.

Proof of Dispersion Relations in Quantized Field Theories

1958 ◽  
Vol 109 (6) ◽  
pp. 2178-2190 ◽  
Author(s):  
H. J. Bremermann ◽  
R. Oehme ◽  
J. G. Taylor
Keyword(s):  
Dispersion Relations ◽  
Field Theories ◽  
Quantized Field

RENORMALIZATION OF STOCHASTICALLY QUANTIZED FIELD THEORIES

1988 ◽  
Vol 03 (01) ◽  
pp. 163-185 ◽  
Author(s):  
S. CHATURVEDI ◽  
A.K. KAPOOR ◽  
V. SRINIVASAN
Keyword(s):  
Langevin Equation ◽  
Field Theories ◽  
Quantization Scheme ◽  
Stochastic Quantization ◽  
Coupling Constant ◽  
Operator Formalism ◽  
Four Dimensions ◽  
Quantized Field ◽  
The One ◽  
Renormalization Constants

We discuss the renormalizability of stochastically quantized ϕ4 theory in four dimensions using the operator formalism of the Langevin equation developed by Namiki and Yamanaka. The operator formalism casts the Parisi Wu stochastic quantization scheme into a five-dimensional field theory. The usefulness of this approach over the one based directly on the Langevin equation is brought out for discussion of renormalization. We propose a new regularization scheme for the stochastic diagrams and use it to compute the renormalization constants and counter terms for the ϕ4 theory to second order in the coupling constant.

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