Towards a Dynamical Solution of the Strong CP Problem

Details Towards a Dynamical Solution of the Strong CP Problem Towards a Dynamical Solution of the Strong CP Problem

1994-03-11

arxiv.org/abs/hep-lat/9403012v1

Nucl.Phys.Proc.Suppl.37A:203-210,1994

Physics

High Energy Physics

High Energy Physics - Lattice

8 pages, postscript file, DESY 94-031, HLRZ 94-13, talk given at the Third KEK Topical Conference on CP Violation

Scientific paper

It is argued that QCD might solve the strong CP problem on its own. To test this idea, a lattice simulation suggests itself. In view of the difficulty of such a calculation we have, as a first step, investigated the problem in the $CP^3$ model. The $CP^3$ model is in many respects similar to QCD. In this talk I shall present some first results of our calculation. Among other things it is shown that the model has a first order deconfining phase transition in $\theta$ and that the critical value of $\theta$ decreases towards zero as $\beta$ is taken to infinity. This suggests that $\theta$ is tuned to zero in the continuum limit.

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