Canonical quantization of theories with higher derivatives. Quantization of R2 gravitation

1987 ◽  
Vol 72 (2) ◽  
pp. 824-834 ◽  
Author(s):  
I. L. Bukhbinder ◽  
S. L. Lyakhovich
Keyword(s):  
Canonical Quantization ◽  
Higher Derivatives

Canonical quantization of the Yang-Mills Lagrangian with higher derivatives

1985 ◽  
Vol 28 (7) ◽  
pp. 554-556 ◽  
Author(s):  
D. M. Gitman ◽  
S. L. Lyakhovich ◽  
I. V. Tyutin
Keyword(s):  
Canonical Quantization ◽  
Yang Mills ◽  
Higher Derivatives

SOME QUANTUM ASPECTS OF THE REGULARIZATION WITH HIGHER DERIVATIVES

1989 ◽  
Vol 04 (22) ◽  
pp. 2195-2200 ◽  
Author(s):  
J. BARCELOS-NETO ◽  
N.R.F. BRAGA
Keyword(s):  
Canonical Quantization ◽  
Scalar Theory ◽  
Higher Derivative ◽  
Higher Derivatives ◽  
Quantum Aspects

We discuss the canonical quantization of scalar theory when higher derivative regulating terms are included in the Lagrangian.

Canonical quantization of gravitation with higher derivatives

1985 ◽  
Vol 28 (12) ◽  
pp. 951-956 ◽  
Author(s):  
I. L. Bukhbinder ◽  
S. L. Lyakhovich
Keyword(s):  
Canonical Quantization ◽  
Higher Derivatives

The Coarse Scale Velocity

2017 ◽  
Author(s):  
Philip Isett
Keyword(s):  
Velocity Field ◽  
Building Blocks ◽  
Coarse Scale ◽  
Divergence Equation ◽  
Higher Derivatives ◽  
Order Of Magnitude ◽  
Derivatives Of

This chapter deals with the coarse scale velocity. It begins the proof of Lemma (10.1) by choosing a double mollification for the velocity field. Here ∈ᵥ is taken to be as large as possible so that higher derivatives of velement are less costly, and each vsubscript Element has frequency smaller than λ‎ so elementv⁻¹ must be smaller than λ‎ in order of magnitude. Each derivative of vsubscript Element up to order L costs a factor of Ξ‎. The chapter proceeds by describing the basic building blocks of the construction, the choice of elementv and the parametrix expansion for the divergence equation.

scholarly journals De-singularizing the extremal GMGHS black hole via higher derivatives corrections

2021 ◽  
pp. 136357
Author(s):  
Carlos Herdeiro ◽  
Eugen Radu ◽  
Kunihito Uzawa
Keyword(s):  
Black Hole ◽  
Higher Derivatives

Vacuum polarization and particle creation in the presence of a potential step

2016 ◽  
Vol 31 (02n03) ◽  
pp. 1641031 ◽  
Author(s):  
S. P. Gavrilov ◽  
D. M. Gitman
Keyword(s):  
Electric Potential ◽  
Canonical Quantization ◽  
Particle Creation ◽  
Pair Creation ◽  
Dirac Field ◽  
Potential Step ◽  
Electron Positron ◽  
Physical Impact ◽  
Particle Interpretation ◽  
Electron Positron Pair

We consider QED with strong external backgrounds that are concentrated in restricted space areas. The latter backgrounds represent a kind of spatial x-electric potential steps for charged particles. They can create particles from the vacuum, the Klein paradox being closely related to this process. We describe a canonical quantization of the Dirac field with x-electric potential step in terms of adequate in- and out-creation and annihilation operators that allow one to have consistent particle interpretation of the physical system under consideration and develop a nonperturbative (in the external field) technics to calculate scattering, reflection, and electron-positron pair creation. We resume the physical impact of this development.

scholarly journals On Plane Wave Solutions in Lorentz-Violating Extensions of Gravity

Galaxies ◽  
2021 ◽  
Vol 9 (2) ◽  
pp. 32
Author(s):  
J. R. Nascimento ◽  
A. Yu. Petrov ◽  
A. R. Vieira
Keyword(s):  
Plane Wave ◽  
Dispersion Relations ◽  
Wave Solutions ◽  
Higher Derivatives ◽  
Additive Term

In this paper, we obtain dispersion relations corresponding to plane wave solutions in Lorentz-breaking extensions of gravity with dimension 3, 4, 5 and 6 operators. We demonstrate that these dispersion relations display a usual Lorentz-invariant mode when the corresponding additive term involves higher derivatives.

Nonlinear solution of the reaction–diffusion equation using a two-step third–fourth-derivative block method

2020 ◽  
Vol 0 (0) ◽  
Author(s):  
Oluwaseun Adeyeye ◽  
Ali Aldalbahi ◽  
Jawad Raza ◽  
Zurni Omar ◽  
Mostafizur Rahaman ◽  
...  
Keyword(s):  
Diffusion Equation ◽  
Reaction Diffusion ◽  
Numerical Approach ◽  
Reaction Diffusion Equations ◽  
Reaction Diffusion Equation ◽  
Block Method ◽  
Wide Range ◽  
Higher Derivatives ◽  
Fourth Derivative ◽  
Improved Accuracy

AbstractThe processes of diffusion and reaction play essential roles in numerous system dynamics. Consequently, the solutions of reaction–diffusion equations have gained much attention because of not only their occurrence in many fields of science but also the existence of important properties and information in the solutions. However, despite the wide range of numerical methods explored for approximating solutions, the adoption of block methods is yet to be investigated. Hence, this article introduces a new two-step third–fourth-derivative block method as a numerical approach to solve the reaction–diffusion equation. In order to ensure improved accuracy, the method introduces the concept of nonlinearity in the solution of the linear model through the presence of higher derivatives. The method obtained accurate solutions for the model at varying values of the dimensionless diffusion parameter and saturation parameter. Furthermore, the solutions are also in good agreement with previous solutions by existing authors.

Sign in / Sign up

Export Citation Format

Share Document