Analytic infinite derivative gravity, $R^2$-like inflation, quantum gravity and CMB

Abstract

Emergence of $R^2$ inflation which is the best fit framework for CMB observations till date comes from the attempts to attack the problem of quantization of gravity which in turn have resulted in the trace anomaly discovery. Further developments in trace anomaly and different frameworks aiming to construct quantum gravity indicate an inevitability of non-locality in fundamental physics at small time and length scales. A natural question would be to employ the $R^2$ inflation as a probe for signatures of non-locality in the early Universe physics. Recent advances of embedding $R^2$ inflation in a string theory inspired non-local gravity modification provides very promising theoretical predictions connecting the non-local physics in the early Universe and the forthcoming CMB observations.

arXiv comment6 pages, 3 figures, Received an Honorable mention at the Gravity Research Foundation 2020 Awards for Essays on Gravitation. This version matches with the one published in IJMPD

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Cited by in corpus (23)

• Inflationary interpretation of the stochastic gravitational wave background signal detected by pulsar timing array experiments
• Unitarity of Minkowski non-local theories made explicit
• Non-local self-healing of Higgs inflation
• Confinement and Renormalization Group Equations in String-inspired Non-local Gauge Theories
• Generalized non-local $R^2$-like inflation
• Exact solutions of non-local gravity in a class of almost universal spacetimes
• Study of Goldstone Inflation in the domain of Einstein-Gauss-Bonnet gravity
• Mass Gap in Infinite Derivative Non-local Higgs: Dyson-Schwinger Approach
• An anisotropic bouncing universe in non-local gravity
• Strongly Coupled String-inspired Infinite Derivative Non-local Yang-Mills: Diluted Mass Gap
• New non-singular cosmological solution of non-local gravity
• Visions in Quantum Gravity
• Cosmology in nonlocal gravity
• Inflationary Dynamics of Mutated Hilltop Inflation in Einstein-Gauss-Bonnet Gravity Under New Slow-Roll Approximations with Generalised Reheating
• New Cosmological Solutions of a Nonlocal Gravity Model
• Inflationary Dynamics in Einstein-Gauss-Bonnet Gravity Using New Slow-Roll Approximations considering Generalised Reheating
• Spherically symmetric black holes in metric gravity
• Black holes in non-local gravity
• Revisiting primordial black holes formation from preheating instabilities: the case of Starobinsky inflation
• Modified Starobinsky inflation by the $R\ln \left(\square \right)R$ term
• Global portraits of nonminimal inflation
• Resonant particle creation by a time-dependent potential in a nonlocal theory
• Magnetogenesis in non-local models during inflation