New advances in numerical simulations of theta-vacuum systems

TL;DR

This paper introduces two novel simulation methods for theta-vacuum systems, demonstrating their effectiveness and consistency through analytical models and application to CP^9 in the scaling region.

Contribution

It presents two different simulation techniques for theta-vacuum systems and validates their reliability by cross-comparison, including an application to CP^9.

Findings

Both methods produce consistent results for analytically soluble models.

The methods are successfully applied to CP^9 in the scaling region.

Systematic errors can be managed by comparing the two methods.

Abstract

We proposed two different methods for simulating theta-vacuum systems. Both can be affected by systematic effects but these errors can be controlled by comparing the results of the two unrelated methods. This has been done for some analytically soluble models and here the same procedure is successfully applied to the interesting case of CP^9 in the scaling region.