Periodic Theta Vacuum Model and the QCD Instanton Vacuum

Details Periodic Theta Vacuum Model and the QCD Instanton Vacuum Periodic Theta Vacuum Model and the QCD Instanton Vacuum

2000-11-14

arxiv.org/abs/hep-ph/0011180v2

Physics

High Energy Physics

High Energy Physics - Phenomenology

6 pages, LaTeX. minor changes,reference added

Scientific paper

We formulate a toy model for the $\theta$ vacuum that embodies the n-point moments of the even and odd topological charge densities. The partition function is $2\pi$ periodic only after resumming over all winding modes. We apply the same analysis to the quenched instanton vacuum at finite $\theta$ and derive saddle-point results for the vacuum energy density that are manifestly $2\pi$ periodic whatever $\theta$. We briefly discuss the consequences of unquenching the fermions on our results.

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