Appearance of novel modes of $\bar{D}$ mesons in the Dual Chiral Density Wave

TL;DR

This paper investigates how inhomogeneous chiral condensates in the Dual Chiral Density Wave phase lead to novel dispersion relations for various anti-D mesons, revealing modes with unconventional group velocities and energy minima at finite momentum.

Contribution

It introduces the calculation of meson dispersion relations in the DCDW phase, showing the emergence of unique modes with opposite group velocity and finite-momentum energy minima.

Findings

All modes exhibit opposite group velocity to momentum at low momentum.

Energy minima occur at non-zero momentum equal to the density wave's wave number.

The study reveals novel meson behaviors in the DCDW phase.

Abstract

We calculate dispersion relations for $\bar{D}(0^-)$, $\bar{D}^*(1^-)$, $\bar{D}_0^*(0^+)$ and $\bar{D}_1(1^+)$ mesons in the Dual Chiral Density Wave (DCDW) where the chiral symmetry is spontaneously broken by inhomogeneous chiral condensate. Employing the Bloch's theorem, we show that all the modes have opposite group velocity to the momentum in the low-momentum region and the energy is minimized at non-zero momentum. Furthermore, the magnitude of momentum which realizes the minimum energy is equal to the wave number of the density wave.