2019/08/31 by Tiago G. Ribeiro, Ilya L. Shapiro
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Decoupling (probability) #Geometry #Kinetic term #Mathematics #Physics #Quantum #Quantum Electrodynamics and Casimir Effect #Quantum gravity #Quantum mechanics #Scalar (mathematics) #Scalar field #Scalar field theory #hep-th
paper · pdf · doi:10.1007/jhep10(2019)163
Note Added with discussion of the possible physical applications of the model. Fits the version accepted in JHEP
openalex publication_date 2019/10/01 · arxiv created 2019/10/03 · arxiv updated 2019/10/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
A bstract We consider, in more details than it was done previously, the effective low- energy behavior in the quantum theory of a light scalar field coupled to another scalar with much larger mass. The main target of our work is an IR decoupling of heavy degrees of freedom, including in the diagrams with mixed light-heavy contents in the loops. It is shown that the one-loop diagrams with mixed internal lines produce an IR non-local contributions which are exactly the same as the ones in the theory of the light scalar alone, with the effective self-interaction which can be obtained by the functional integration of the heavy scalar, almost neglecting its kinetic term. The same effect takes place in curved space, regardless of a larger amount of non-localities which show up in the effective model.