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In this work, we show that quantum corrections to some cosmological models [1] can lead to a significant modification of the behaviour of the initial potential and the appearance of a non-zero ground state energy of the Universe which can be interpreted as a cosmological constant.
We apply the formalism of the effective potential to the simplest forms of $\alpha$-attractors which can be represented by the so-called $T$-models and $E$-models [2]. We derived the generalised renormalisation group (RG) equations that sum up the whole sequence of leading logarithmic contributions to the effective potential. As a result, the accounting of quantum corrections leads to a change of character and a lift of the effective potential [3,4]. We interpreted this uplift as the appearance of the cosmological constant $\Lambda$ for the $T^{2}$ and $E^{2}$ models.
Thus, we have found out that the cosmological constant $\Lambda$ may exist as a consequence of quantum corrections to the effective potential with some value of the scale transmutation parameter $\mu$ even in non-renormalizable models of inflation. And the value of the cosmological constant $\Lambda$ allows one to fix the parameter $\mu$ which is a free parameter in the non-renormalizable theory.
[1] D.I. Kazakov, R.M. Iakhibbaev and D.M. Tolkachev, Leading all-loop quantum contribution to the effective potential in the inflationary cosmology, JCAP 09 (2023) 049 [2308.03872].
[2] Renata Kallosh, Andrei Linde, and Diederik Roest. Superconformal Inflationary $\alpha$-Attractors. JHEP, 11:198, 2013.
[3] Tolkachev D. M., Kazakov D. I., Iakhibbaev R. M., and Filippov V. A. Quantum corrections to effective potentials of simplest 𝛼-attractors. PoS, ICPPCRubakov2023:022,2024. [4] Kazakov D I, Iakhibbaev R M, V.
[4] A. Filippov, R. M. Iakhibbaev, D. I. Kazakov, D. M. Tolkachev. "Cosmological constant due to quantum corrections to the effective potential" Natural Sci. Rev. 1 3 (2024), https://nsr-jinr.ru/index.php/nsr/article/view/16
