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Derivative expansion in a two-scalar field theory

Alícia G. Borges* and Ilya L. Shapiro†

  • *Contact author: aliciagomes1a1@gmail.com
  • †Contact author: ilyashapiro2003@ufjf.br
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Phys. Rev. D 111, 125019 – Published 25 June, 2025

DOI: https://doi.org/10.1103/rynr-2znv

Abstract

The derivative expansion of the effective action is considered in the model with two interacting real scalar fields in curved spacetime. Using the functional approach and local momentum representation, the coefficient of the derivative term is calculated up to the first order in curvature in the one-scalar theory. The two-scalar problem is solved by extracting normal modes and consequent reduction to the single-scalar case. The method can be applied to a larger number of scalars. In the theory with strong hierarchy of masses, the renormalized effective potential and the coefficients of the second-order derivative terms demonstrate the quantum decoupling in the low-energy limit.

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Phys. Rev. D 111, 125019– Published 25 June, 2025
  • Received 4 April 2025
  • Accepted 6 June 2025
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

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