Theta-vacuum systems via real action simulations
V. Azcoiti, G. Di Carlo, A. Galante, V. Laliena

TL;DR
This paper introduces a transformation method for simulating theta-vacuum systems using real action simulations, enabling the determination of order parameters as functions of theta, and successfully tests it on models with different CP symmetry states.
Contribution
The paper presents a novel transformation approach that allows real action simulations of theta-vacuum systems, extending the capability to analyze their properties.
Findings
Successfully determined order parameters as functions of theta
Validated approach on models with broken and unbroken CP symmetry
Demonstrated effectiveness of the transformation method
Abstract
Inspired by the results of the Ising model within an imaginary external magnetic field, we introduce a transformation in quantum systems with a theta-vacuum term that amounts to a rescaling of z=cos(theta/2). Making use of this transformation we are able to determine the order parameter as a function of theta. The approach is successfully tested in models with both broken and unbroken CP symmetry at theta=pi.
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