Spontaneous CP violation in quark scattering from QCD Z(3) interfaces

Abstract

In this paper, we explore the possibility of spontaneous CP violation in the scattering of quarks and anti-quarks from QCD Z(3) domain walls. The CP violation here arises from the nontrivial profile of the background gauge field $(A_0)$ between different Z(3) vacua. We calculate the spatial variation of $A_0$ across the Z(3) interface from the profile of the Polyakov loop $L(\vec{x})$ for the Z(3) interface and calculate the reflection of quarks and antiquarks using the Dirac equation. This spontaneous CP violation has interesting consequences for the relativistic heavy-ion collision experiments, such as baryon enhancement at high $P_T$. It also acts as a source of additional J/$\psi$ suppression. We also discuss its implications for the early universe.

Comments: 13 pages, Latex, 7 figures, Two different effective potentials studied with similar temperatures showing consistent results. Final published version