TL;DR
This paper explores the cosmological constant problem, focusing on self-tuning models that aim to naturally set the CC to zero, and discusses a specific model that predicts a high probability for a vanishing CC after inflation.
Contribution
It presents a refined calculation method for the Hawking type probability amplitude and demonstrates that the Kim-Kyae-Lee self-tuning model favors a zero cosmological constant with high probability.
Findings
A correct way to calculate the Hawking type amplitude is proposed.
The Kim-Kyae-Lee model allows a finite parameter range with high probability for CC=0.
The probability amplitude peaks at CC=0 from the AdS side.
Abstract
Here, I discuss the cosmological constant (CC) problems, in particular paying attention to the vanishing cosmological constant. There are three cosmological constant problems in particle physics. Hawking's idea of calculating the probability amplitude for our Universe is peaked at CC = 0 which I try to obtain after the initial inflationary period using a self-tuning model. I review what has been discussed on the Hawking type calculation, and present a (probably) correct way to calculate the amplitude, and show that the Kim-Kyae-Lee self-tuning model allows a finite range of parameters for the CC = 0 to have a singularly large probability, approached from the AdS side.
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