Renormalization group inspired autonomous equations for secular effects in de Sitter space
Abstract
We develop a method for treating a series of secularly growing terms obtained from quantum perturbative calculations: autonomous first-order differential equations are constructed such that they reproduce this series to the given order. The exact solutions of these equations are free of secular terms and approach a finite limit at late times. This technique is illustrated for the well-known problem of secular growth of correlation functions of a massless scalar field with a quartic self-interaction in de Sitter space. For the expectation value of the product of two fields at coinciding space-time points, we obtain a finite late-time result that is very close to the one following from Starobinsky's stochastic approach.
- Publication:
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Physical Review D
- Pub Date:
- September 2020
- DOI:
- 10.1103/PhysRevD.102.065010
- arXiv:
- arXiv:2005.02504
- Bibcode:
- 2020PhRvD.102f5010K
- Keywords:
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- High Energy Physics - Theory;
- General Relativity and Quantum Cosmology
- E-Print:
- 20 pages