On the order reduction
Abstract In this work we present an extension of the technique of the order reduction to higher perturbative approximations in an iterative fashion. The intention is also to analyze more carefully the conditions for the validity of the order reduction technique. With this in mind, a few simple situa...
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2021-03-01
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Series: | European Physical Journal C: Particles and Fields |
Online Access: | https://doi.org/10.1140/epjc/s10052-021-09020-z |
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doaj-9f01589f48e342a08bc2710f25c3e3282021-03-21T12:46:21ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522021-03-018131910.1140/epjc/s10052-021-09020-zOn the order reductionWaleska P. F. de Medeiros0Daniel Müller1Instituto de Física, Universidade de BrasíliaInstituto de Física, Universidade de BrasíliaAbstract In this work we present an extension of the technique of the order reduction to higher perturbative approximations in an iterative fashion. The intention is also to analyze more carefully the conditions for the validity of the order reduction technique. With this in mind, a few simple situations in which the iterative order reduction converges analytically to the exact solutions are presented as examples. It is discovered that the order reduction as a perturbative iterative technique does not converge in the weak coupling limit as most of the known perturbative schemes, at least when applied to these examples. Also, considering these specific examples, the convergence of the order reduction occurs in strong coupling regimes. As a more realistic case, the order reduction is applied to Starobinsky’s inflationary model is presented. It is verified that the method converges to the inflationary solution in the slow-roll regime.https://doi.org/10.1140/epjc/s10052-021-09020-z |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Waleska P. F. de Medeiros Daniel Müller |
spellingShingle |
Waleska P. F. de Medeiros Daniel Müller On the order reduction European Physical Journal C: Particles and Fields |
author_facet |
Waleska P. F. de Medeiros Daniel Müller |
author_sort |
Waleska P. F. de Medeiros |
title |
On the order reduction |
title_short |
On the order reduction |
title_full |
On the order reduction |
title_fullStr |
On the order reduction |
title_full_unstemmed |
On the order reduction |
title_sort |
on the order reduction |
publisher |
SpringerOpen |
series |
European Physical Journal C: Particles and Fields |
issn |
1434-6044 1434-6052 |
publishDate |
2021-03-01 |
description |
Abstract In this work we present an extension of the technique of the order reduction to higher perturbative approximations in an iterative fashion. The intention is also to analyze more carefully the conditions for the validity of the order reduction technique. With this in mind, a few simple situations in which the iterative order reduction converges analytically to the exact solutions are presented as examples. It is discovered that the order reduction as a perturbative iterative technique does not converge in the weak coupling limit as most of the known perturbative schemes, at least when applied to these examples. Also, considering these specific examples, the convergence of the order reduction occurs in strong coupling regimes. As a more realistic case, the order reduction is applied to Starobinsky’s inflationary model is presented. It is verified that the method converges to the inflationary solution in the slow-roll regime. |
url |
https://doi.org/10.1140/epjc/s10052-021-09020-z |
work_keys_str_mv |
AT waleskapfdemedeiros ontheorderreduction AT danielmuller ontheorderreduction |
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