Model for self-tuning the cosmological constant

TL;DR

This paper proposes a five-dimensional Randall-Sundrum model with a specific tensor field to dynamically cancel the cosmological constant, offering a potential solution to the cosmological constant problem.

Contribution

It introduces a self-tuning mechanism using an antisymmetric tensor field in a 5D model to achieve a vanishing cosmological constant without fine-tuning.

Findings

Achieves vanishing cosmological constant in a 5D setup

Requires negative bulk cosmological constant

Uses a specific tensor field for self-tuning

Abstract

The vanishing cosmological constant in the four dimensional space-time is obtained in a 5D Randall-Sundrum model with a brane (B1) located at $y=0$. The matter fields can be located at the brane. For settling any vacuum energy generated at the brane to zero, we need a three index antisymmetric tensor field $A_{MNP}$ with a specific form for the Lagrangian. For the self-tuning mechanism, the bulk cosmological constant should be negative.