Cosmological α′-corrections from the functional renormalization group
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Cosmological α′-corrections from the functional renormalization group. / Basile, Ivano; Platania, Alessia.
In: Journal of High Energy Physics, Vol. 2021, No. 6, 45, 06.2021.Research output: Contribution to journal › Journal article › Research › peer-review
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TY - JOUR
T1 - Cosmological α′-corrections from the functional renormalization group
AU - Basile, Ivano
AU - Platania, Alessia
N1 - Publisher Copyright: © 2021, The Author(s).
PY - 2021/6
Y1 - 2021/6
N2 - 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.
AB - 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.
KW - Cosmology of Theories beyond the SM
KW - Nonperturbative Effects
KW - Renormalization Group
KW - String Duality
UR - http://www.scopus.com/inward/record.url?scp=85107577144&partnerID=8YFLogxK
U2 - 10.1007/JHEP06(2021)045
DO - 10.1007/JHEP06(2021)045
M3 - Journal article
AN - SCOPUS:85107577144
VL - 2021
JO - Journal of High Energy Physics (Online)
JF - Journal of High Energy Physics (Online)
SN - 1126-6708
IS - 6
M1 - 45
ER -
ID: 388513162