# Fab Four self-interaction in quantum regime

**Authors:** A.B. Arbuzov, B.N. Latosh

arXiv: 1703.06626 · 2017-10-25

## TL;DR

This paper investigates quantum corrections to the John Lagrangian within the Fab Four class of Covariant Galileons, analyzing one-loop effects and their implications for cosmology.

## Contribution

It provides the first calculation of one-loop quantum corrections to the Fab Four John interaction, including counter terms within the class.

## Key findings

- Counter terms include one within the Fab Four class.
- Quantum corrections influence cosmological models based on these theories.
- The study advances understanding of quantum stability of Covariant Galileons.

## Abstract

Quantum behavior of the John Lagrangian from the Fab Four class of Covariant Galileons is stud- ied. We consider one-loop corrections to the John interaction due to cubic scalar field interactions. Counter Terms are calculated, one of them belongs to the Fab Four class, the other one to Covariant Galileons. The role of quantum corrections in context of cosmological applications is discussed.

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Source: https://tomesphere.com/paper/1703.06626