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

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

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

scholarly journals NONCOMMUTATIVE U(1) SUPER-YANG–MILLS THEORY: PERTURBATIVE SELF-ENERGY CORRECTIONS

2004 ◽  
Vol 19 (25) ◽  
pp. 4231-4249 ◽  
Author(s):  
A. A. BICHL ◽  
M. ERTL ◽  
A. GERHOLD ◽  
J. M. GRIMSTRUP ◽  
L. POPP ◽  
...  
Keyword(s):  
Power Counting ◽  
The Self ◽  
Field Theories ◽  
Yang Mills ◽  
Self Energy ◽  
Supersymmetric Field Theories ◽  
Crucial Feature ◽  
The One ◽  
Infrared Divergences ◽  
Super Yang Mills Theory

The quantization of the noncommutative [Formula: see text], U(1) super-Yang–Mills action is performed in the superfield formalism. We calculate the one-loop corrections to the self-energy of the vector superfield. Although the power-counting theorem predicts quadratic ultraviolet and infrared divergences, there are actually only logarithmic UV and IR divergences, which is a crucial feature of noncommutative supersymmetric field theories.

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.

scholarly journals LECTURE NOTES ON INTERACTING QUANTUM FIELDS IN DE SITTER SPACE

2014 ◽  
Vol 23 (01) ◽  
pp. 1430001 ◽  
Author(s):  
E. T. AKHMEDOV
Keyword(s):  
De Sitter Space ◽  
The Self ◽  
Field Theories ◽  
Tree Level ◽  
Main Concern ◽  
Quantum Field Theories ◽  
Quantum Field ◽  
Quantum Fields ◽  
De Sitter ◽  
Invariant States

We discuss peculiarities of quantum fields in de Sitter (dS) space on the example of the self-interacting massive real scalar, minimally coupled to the gravity background. Nonconformal quantum field theories (QFTs) in dS space show very special infrared behavior, which is not shared by quantum fields neither in flat nor in anti-dS space: in dS space loops are not suppressed in comparison with tree level contributions because there are strong infrared corrections. That is true even for massive fields. Our main concern is the interrelation between these infrared effects, the invariance of the QFT under the dS isometry and the (in)stability of dS invariant states (and of dS space itself) under nonsymmetric perturbations.

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