Cosmological α′-corrections from the functional renormalization group
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We employ the techniques of the Functional Renormalization Group in string theory, in order to derive an effective mini-superspace action for cosmological backgrounds to all orders in the string scale α′. To this end, T-duality plays a crucial role, classifying all perturbative curvature corrections in terms of a single function of the Hubble parameter. The resulting renormalization group equations admit an exact, albeit non-analytic, solution in any spacetime dimension D, which is however incompatible with Einstein gravity at low energies. Within an E-expansion about D = 2, we also find an analytic solution which exhibits a non-Gaussian ultraviolet fixed point with positive Newton coupling, as well as an acceptable low-energy limit. Yet, within polynomial truncations of the full theory space, we find no evidence for an analog of this solution in D = 4. Finally, we comment on potential cosmological implications of our findings.
Original language | English |
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Article number | 45 |
Journal | Journal of High Energy Physics |
Volume | 2021 |
Issue number | 6 |
ISSN | 1126-6708 |
DOIs | |
Publication status | Published - Jun 2021 |
Bibliographical note
Publisher Copyright:
© 2021, The Author(s).
- Cosmology of Theories beyond the SM, Nonperturbative Effects, Renormalization Group, String Duality
Research areas
ID: 388513162