Natural solution to the naturalness problem -- Universe does fine-tuning

Abstract

We propose a new mechanism to solve the fine-tuning problem. We start from a multi-local action $S={\sum }_i{c}_i{S}_i+{\sum }_{i,j}{c}_{i,j}{S}_i{S}_j+{\sum }_{i,j,k}{c}_{i,j,k}{S}_i{S}_j{S}_k+\cdots$, where $S_i$'s are ordinary local actions. Then, the partition function of this system is given by \begin{equation} Z=\int d\overrightarrowλ f(\overrightarrowλ)\langle f|T\exp\left(-i\int_{0}^{+\infty}dt\hat{H}(\overrightarrowλ;a_{cl}(t))\right)|i\rangle,\nonumber\end{equation} where $\overrightarrow{\lambda }$ represents the parameters of the system whose Hamiltonian is given by $\hat{H}(\overrightarrow{\lambda };a_{cl}(t))$, $a_{cl}(t)$ is the radius of the universe determined by the Friedman equation, and $f(\overrightarrow{\lambda })$, which is determined by $S$, is a smooth function of $\overrightarrow{\lambda }$. If a value of $\overrightarrow{\lambda }$, ${\overrightarrow{\lambda }}_0$, dominates in the integral, we can interpret that the parameters are dynamically tuned to ${\overrightarrow{\lambda }}_0$. We show that indeed it happens in some realistic systems. In particular, we consider the strong CP problem, multiple point criticality principle and cosmological constant problem. It is interesting that these different phenomena can be explained by one mechanism.

21 pages, 4 figures

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Cited by in corpus (13)

• Weak Gravity Conjecture, Multiple Point Principle and the Standard Model Landscape
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• Models of LHC Diphoton Excesses Valid up to the Planck scale
• Higgs Criticality beyond the Standard Model
• Multiple-point principle with a scalar singlet extension of the Standard Model
• Hubble selection of the weak scale from QCD quantum critical point
• A note on graviton exchange in emergent gravity scenario
• Gravitational waves in models with multicritical-point principle
• Baby universes in 2d and 4d theories of quantum gravity
• Low-energy probes of small CMB amplitude in models of radiative Higgs mechanism
• F(750), We Miss You, as Bound State of 6 Top and 6 Anti top
• Possible explanations for fine-tuning of the universe
• Classical conformality in the Standard Model from Coleman's theory