Speaker
Description
In the context of study of QCD phase diagram, the possibility of inhomogeneous chiral condensed phase in low-temperature and high-density regions has been discussed using the low-energy effective theory of QCD such as the Ginzburg-Landau theory, the Nambu-Jona-Lasinio model and so forth. In such a phase, the lepton production rates may change compared to those of homogeneous chiral condensed phase, which includes a vacuum. In particular, the dilepton production rates from charged pion-pair annihilations are expected to be modified by the pion dispersion relation in the inhomogeneous chiral condensed phase, and this modification may be considered as one of the possible experimental signatures for the existence of that phase.
In this study, we assume a dual chiral density wave as an inhomogeneous chiral condensate, and start from a low energy effective Lagrangian expanded with respect to the order parameter based on O(4) symmetry up to the sixth order because of the low-energy effective model of QCD. Using the dispersion relation of the Nambu-Goldstone modes obtained by our model, we evaluate dilepton production rates by charged pion-pair annihilation as a function of an invariant mass and show how the obtained results may be modified compared with the results of dilepton production rates in the homogeneous chiral condensed phase.
| Category | Theory |
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