THE ONE-LOOP APPROXIMATION OF THE TRANSITION AMPLITUDE IN KREIN SPACE QUANTIZATION

2012 ◽  
Vol 27 (07) ◽  
pp. 1250040 ◽  
Author(s):  
MITRA SAHRAEE DEHMAJNOONI ◽  
SAMAD BEHROOZI
Keyword(s):  
Krein Space ◽  
Transition Amplitude ◽  
Explicit Calculation ◽  
Direct Result ◽  
Ultraviolet Divergence ◽  
Renormalization Condition ◽  
Loop Approximation ◽  
Kreĭn Space ◽  
The One ◽  
Krein Space Quantization

An explicit calculation of the transition amplitude in the one-loop approximation in Krein space quantization, has been presented in this paper. As we know the loop integrals in the Feynman diagrams will be often diverged, so it is needed to introduce a regulator (Renormalization condition). In Ref. 1 the λϕ4 theory in Krein space has been considered, it has been proved that the disappearance of the ultraviolet divergence to the one-loop approximation is the direct result of Krein space quantization method. Here it is shown that the transition amplitude in the one-loop approximation in Krein space is finite, and its quantity has been calculated. So the theory is automatically regularized.

scholarly journals SCALAR EFFECTIVE ACTION IN KREIN SPACE QUANTIZATION

2011 ◽  
Vol 26 (01) ◽  
pp. 31-41 ◽  
Author(s):  
A. REFAEI ◽  
M. V. TAKOOK
Keyword(s):  
Effective Action ◽  
Krein Space ◽  
Physical Interaction ◽  
Running Coupling ◽  
Loop Approximation ◽  
Running Coupling Constant ◽  
Kreĭn Space ◽  
Β Function ◽  
The One ◽  
Krein Space Quantization

In this paper, the λϕ4 scalar field effective action, in the one-loop approximation, is calculated by using the Krein space quantization. We show that the effective action is naturally finite and the singularity does not appear in the theory. The physical interaction mass, the running coupling constant and β-function are then calculated. The effective potential which is calculated in the Krein space quantization is different from the usual Hilbert space calculation, however we show that β-function is the same in the two different methods.

Effective action of in Krein space quantization

2017 ◽  
Vol 95 (12) ◽  
pp. 1239-1241 ◽  
Author(s):  
B. Forghan ◽  
S. Razavi
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Effective Action ◽  
Regularization Method ◽  
Krein Space ◽  
Quantum Field ◽  
Kreĭn Space ◽  
Finite Solution ◽  
The One ◽  
Krein Space Quantization

The appearance of divergence creates computational issues in the process of calculating the one-loop effective action of [Formula: see text] in quantum field theory. In this paper, it is demonstrated that using Krein space quantization with Ford’s method of fluctuated metrics, divergence can be removed and that without using any traditional regularization method, it is possible to arrive at a finite solution for the effective action.

scholarly journals SPECTRUM OF GRAVITATIONAL WAVES IN KREIN SPACE QUANTIZATION

2011 ◽  
Vol 26 (36) ◽  
pp. 2697-2702 ◽  
Author(s):  
M. MOHSENZADEH ◽  
A. SOJASI ◽  
E. YUSOFI
Keyword(s):  
Gravitational Waves ◽  
Krein Space ◽  
Slow Roll ◽  
Primordial Power Spectrum ◽  
Alternative Approach ◽  
Special Cases ◽  
Kreĭn Space ◽  
Field Quantization ◽  
Krein Space Quantization ◽  
Scalar Perturbations

The main goal of this paper is to derive the primordial power spectrum for the scalar perturbations generated as a result of quantum fluctuations during an inflationary period by an alternative approach of field quantization.1–3 Formulas are derived for the gravitational waves, special cases of which include power law inflation and inflation in the slow roll approximation, in Krein space quantization.

scholarly journals QED effective action in Krein space quantization

2011 ◽  
Vol 704 (4) ◽  
pp. 326-333 ◽  
Author(s):  
A. Refaei ◽  
M.V. Takook
Keyword(s):  
Effective Action ◽  
Krein Space ◽  
Kreĭn Space ◽  
Krein Space Quantization

scholarly journals EULER–HEISENBERG LAGRANGIAN THROUGH KREIN REGULARIZATION

2013 ◽  
Vol 28 (14) ◽  
pp. 1350056 ◽  
Author(s):  
A. REFAEI
Keyword(s):  
Electromagnetic Field ◽  
Effective Action ◽  
Light Cone ◽  
Krein Space ◽  
Renormalization Procedure ◽  
Constant Electromagnetic Field ◽  
Kreĭn Space ◽  
The One ◽  
Convergent Solution ◽  
Krein Regularization

The Euler–Heisenberg effective action at the one-loop for a constant electromagnetic field is derived in Krein space quantization with Ford's idea of fluctuated light-cone. In this work, we present a perturbative but convergent solution of the effective action. Without using any renormalization procedure, the result coincides with the famous renormalized Euler–Heisenberg action.

QED in Krein Space Quantization

2011 ◽  
Vol 50 (8) ◽  
pp. 2466-2476 ◽  
Author(s):  
A. Zarei ◽  
B. Forghan ◽  
M. V. Takook
Keyword(s):  
Krein Space ◽  
Kreĭn Space ◽  
Krein Space Quantization

scholarly journals Krein Space Quantization of Casimir Effect for a Spherical Shell

2012 ◽  
Vol 2012 ◽  
pp. 1-5 ◽  
Author(s):  
F. Payandeh
Keyword(s):  
Spherical Shell ◽  
Casimir Effect ◽  
Krein Space ◽  
Massless Scalar ◽  
Massless Scalar Field ◽  
De Sitter ◽  
Sitter Spacetime ◽  
Kreĭn Space ◽  
Krein Space Quantization

The Casimir stress on a spherical shell in de Sitter spacetime for a massless scalar field is calculated using Krein space quantization. In this method, the auxiliary negative frequency states have been utilized, the modes of which do not interact with the physical states and are not affected by the physical boundary conditions. These unphysical states just play the role of an automatic renormalization tool for the theory.

Vacuum polarization of weak interaction theory in Krein space quantization

2019 ◽  
Vol 34 (07n08) ◽  
pp. 1950050
Author(s):  
B. Forghan
Keyword(s):  
Hilbert Space ◽  
Weak Interaction ◽  
Regularization Method ◽  
Vacuum Polarization ◽  
Krein Space ◽  
Dimensional Regularization ◽  
Interaction Theory ◽  
Kreĭn Space ◽  
Krein Space Quantization

In this paper, one of the most important diagrams of weak interaction (vacuum polarization) is studied in Krein space quantization (KSQ). This diagram has divergent terms in Hilbert space which must be eliminated using a traditional regularization method like dimensional regularization whereas in KSQ the result is automatically finite and does not need renormalization.

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