Spontaneous CP violation in the NJL model at theta = pi

Abstract

As is well-known, spontaneous CP-violation in the strong interaction is possible at theta = pi, which is commonly referred to as Dashen's phenomenon. This phenomenon has been studied extensively using chiral Lagrangians. Here the two-flavor NJL model at theta = pi is discussed. It turns out that the occurrence of spontaneous CP-violation depends on the strength of the 't Hooft determinant interaction, which describes the effect of instanton interactions. The dependence of the phase structure, and in particular of the CP-violating phase, on the quark masses, temperature, baryon and isospin chemical potential is examined in detail. The latter dependence shows a modification of the charged pion condensed phase first discussed by Son and Stephanov.

arXiv comment5 pages, 7 figures; talk given at the 8th Conference "Quark Confinement and the Hadron Spectrum", Mainz, Germany, 1-6 September 2008

References in corpus (9)

• QCD at finite isospin density
• Flavor-Mixing Effects on the QCD Phase Diagram at non-vanishing Isospin Chemical Potential: One or Two Phase Transitions?
• QCD at θ\sim π
• Spontaneous violation of CP symmetry in the strong interactions
• Spontaneous CP-violation in the strong interaction at theta = pi
• $\theta -$ Parameter in 2 Color QCD at Finite Baryon and Isospin Density
• CP violation and chiral symmetry restoration in the hot linear sigma model in a strong magnetic background
• QCD at Theta ~ Pi reexamined: domain walls and spontaneous CP violation
• $\theta$-dependence of QCD at Finite Isospin Density

Cited by in corpus (1)

• Spontaneous generation of local CP violation and inverse magnetic catalysis