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This work examines two definitions of scalar field effective potential in de Sitter spacetime and their implications for quantum field theory.

Scalar effective potentials in de Sitter spacetime

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We investigate scalar field effective potentials in de Sitter spacetime, revealing significant differences between definitions.

This work examines two definitions of scalar field effective potential in de Sitter spacetime and their implications for quantum field theory.
Computed the standard and constraint effective potentials explicitly at one-loop order using perturbation theory.
Analyzed the convergence behavior of the standard effective potential in relation to light fields.
Provided physical interpretations and evidence for the correct application of the constraint effective potential.
The standard effective potential fails to converge for light fields, leading to an infrared problem.
The constraint effective potential remains stable and computable within perturbation theory.
Evidence supports the conjecture that the constraint effective potential is accurate in stochastic Starobinsky-Yokoyama theory.

García-Consuegra et al. (2026) studied this question.

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