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.

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

Some remarks on a paper by W. N. Everitt

1977 ◽  
Vol 78 (1-2) ◽  
pp. 71-79 ◽  
Author(s):  
K. Daho ◽  
H. Langer
Keyword(s):  
Hilbert Space ◽  
Weight Function ◽  
Selfadjoint Operator ◽  
Krein Space ◽  
Indefinite Weight ◽  
Indefinite Weight Function ◽  
Kreĭn Space ◽  
Pontrjagin Space

Everitt has shown [1[, that for α ∊ [0, π/2] the undernoted problem (1.1–2) with an indefinite weight function r can be represented by a selfadjoint operator in a suitable Hilbert space. This result is extended to arbitrary α ∊ [0, π), replacing the Hilbert space in some cases by a Pontrjagin space with index one. The problem is also treated in the Krein space generated by the weight function r.

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.

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.

On Operators with Spectral Square but without Resolvent Points

2005 ◽  
Vol 57 (1) ◽  
pp. 61-81 ◽  
Author(s):  
Paul Binding ◽  
Vladimir Strauss
Keyword(s):  
Hilbert Space ◽  
Spectral Type ◽  
Krein Space ◽  
Resolvent Set ◽  
Hilbert Space Operators ◽  
Kreĭn Space

AbstractDecompositions of spectral type are obtained for closed Hilbert space operators with empty resolvent set, but whose square has closure which is spectral. Krein space situations are also discussed.

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