Author:
de Medeiros Waleska P. F.,Müller Daniel
Abstract
AbstractIn 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.
Publisher
Springer Science and Business Media LLC
Subject
Physics and Astronomy (miscellaneous),Engineering (miscellaneous)
Reference41 articles.
1. M. Abraham, Theorie der Elektrizität: Elektromagnetische Theorie der Strahlung, vol. 2 (Teubner, Berlin, 1905)
2. P.A. Dirac, Classical theory of radiating electrons, in Proceedings of the Royal Society of London. Series A 167, Mathematical and Physical Sciences (1938), pp. 148–169
3. E.J. Moniz, D.H. Sharp, Radiation reaction in nonrelativistic quantum electrodynamics. Phys. Rev. D 15, 2850 (1977). https://doi.org/10.1103/PhysRevD.15.2850
4. S. Faci, M. Novello, Time-delayed electromagnetic radiation reaction (2016). arXiv:1611.07611v1
5. E. Poisson, A. Pound, I. Vega, The motion of point particles in curved spacetime. Living Rev. Relativ. 14(1), 7 (2011)