Towards a Dynamical Solution of the Strong CP Problem

Abstract

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 $C{P}^3$ model. The $C{P}^3$ 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.

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

References in corpus (2)

• Structure of Abrikosov Vortices in SU(2) Lattice Gauge Theory
• Scaling topological charge in the CP^3 spin model

Cited by in corpus (12)

• Instantons in QCD
• Meron-Cluster Simulation of the $\theta$-Vacuum in the 2-d $O(3)$-Model
• Renormalization of the Topological Charge in Yang-Mills Theory
• Tensor renormalization group analysis of CP(N-1) model
• Phase structure of the CP(1) model in the presence of a topological $\theta$-term
• Tensor network simulation of the (1+1)-dimensional $O(3)$ nonlinear $\sigma$-model with $\theta =\pi$ term
• Vacuum Nodes in QCD at $\theta =\pi$: Exact Results
• Vacuum structure of CP^N sigma models at theta=pi
• Phase structure of CP(N-1) model with topological term
• The dependence of overlap topological charge density on Wilson mass parameter
• Does chiral perturbation theory rule out QCD-based solutions to the strong CP problem?
• Repercussions of the Peccei-Quinn axion on QCD