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May 9, 2026SymmetryOpen Access

Effective Potentials for de Sitter and Anti-de Sitter Quantum Fields

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Authors

ABAlfio BonannoIstituto Nazionale di Fisica Nucleare, Sezione di CataniaSCSergio Luigi CacciatoriUniversity of InsubriaUMUgo MoschellaUniversity of Insubria

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Implication

Randomized trial computes effective potential for scalar fields in curved spacetimes, suggesting consistency with flat space results.

Key Points

  • The aim is to derive effective potentials for interacting scalar fields in curved spacetimes, specifically in de Sitter and anti-de Sitter backgrounds.
  • Computed one-loop effective potentials for scalar O(N) theory in de Sitter space in any integer dimension.
  • Extended calculations to two-loops in d=3 using dimensional regularization.
  • Performed calculations for AdS3 using point-splitting regularization.
  • Effective potentials match flat-space results despite curvature effects on masses/couplings.
  • Results for β-function and anomalous mass dimension coincide with established flat-space values.
  • The flat limit R→∞ confirms consistency with Coleman–Weinberg.

Cite This Study

Bonanno et al. (2026) studied this question.

synapsesocial.com/papers/69fed153b9154b0b82878a79https://doi.org/10.3390/sym18050801
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