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Abstract <p>A spatial-temporal structure of quantum fluctuations in the stress-energy tensor of zero-point modes for a quantized scalar field is studied in order to formulate a 4D isotropic model substantiating the scalar field action with a single invariant evolution parameter. The model describes an invariant vacuum contribution to the cosmological constant by nonstationary coherent state of inflaton in an invariant finite volume under a 4D cutoff in the momentum space. Bare vacuum energy density and its effective mean value are compared, that yields a good agreement of huge bare scale with dynamically suppressed empirical scale as the model sets an exponential dependence on a ratio of the reduced Planckian mass to an energy scale in the plateau of the inflaton potential.</p>

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Scalar Field Action under 4D Isotropic Cutoff and Cosmological Constant Suppression in Nonstationary State

  • 期刊论文

  • 发表日期：

    2025年12月1日

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  • A. B. Aynbund,
  • V. V. Kiselev

摘要

Abstract

A spatial-temporal structure of quantum fluctuations in the stress-energy tensor of zero-point modes for a quantized scalar field is studied in order to formulate a 4D isotropic model substantiating the scalar field action with a single invariant evolution parameter. The model describes an invariant vacuum contribution to the cosmological constant by nonstationary coherent state of inflaton in an invariant finite volume under a 4D cutoff in the momentum space. Bare vacuum energy density and its effective mean value are compared, that yields a good agreement of huge bare scale with dynamically suppressed empirical scale as the model sets an exponential dependence on a ratio of the reduced Planckian mass to an energy scale in the plateau of the inflaton potential.