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The cosmological constant from the QCD Veneziano ghost · Around

2009

The cosmological constant from the QCD Veneziano ghost

Urban, Federico R., Zhitnitsky, Ariel R.

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We suggest that the solution to the cosmological vacuum energy puzzle is linked to the infrared sector of the effective theory of gravity interacting with standard model fields, with QCD fields specifically.

We work in the framework of low energy quantum gravity as an effective field theory.
In particular, we compute the vacuum energy in terms of QCD parameters and the Hubble constant $H$ such that the vacuum energy is $\epsilon_{vac} \sim H \cdot m_q\la\bar{q}q\ra /m_{\eta'} \sim (3.6\cdot 10^{-3} \text{eV})^4$, which is amazingly close to the observed value today.
The QCD ghost (responsible for the solution of the $U(1)_A$ problem) plays a crucial r\^ole in the computation of the vacuum energy, because the ghost's properties at very large but finite distances slightly deviate (as $\sim H / \Lqcd $) from their infinite volume Minkowski values.

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