Dynamics of the Cosmological Constant in Two-Dimensional Universe

TL;DR

This paper explores a two-dimensional gravity model where the cosmological constant varies dynamically, showing it becomes very small in large universes, which could shed light on the cosmological constant problem.

Contribution

It introduces a model where the cosmological constant is a dynamical variable in two-dimensional gravity, deriving its effective value without initial boundary conditions.

Findings

Effective cosmological constant is extremely small in large universes.

The model demonstrates a dynamical mechanism for the cosmological constant.

No initial boundary condition is required for the derivation.

Abstract

We consider a two-dimensional model of gravity with the cosmological constant as a dynamical variable. The effective cosmological constant is derived when the universe has no initial boundary. It turns out to be extremely small if the universe is sufficiently large.