Finite-energy sum rules at finite chemical potential and zero temperature
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ID: 281885
2024
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Abstract
In this article we explore the effect of chemical potential at zero
temperature in the implementation of in-medium effects in the perturbative
sector in finite energy sum rules. For this purpose, we explore the axial,
axial-pseudoscalar and pseudoscalar current correlators involving charged
pions. The inclusion of non-normal ordered condensates with chemical potential
effects in the operator mixing is considered. As a result, the contribution of
the operator mixing with chemical potential dependence cancels all the explicit
chemical potential contribution of the perturbative sector, aligned with the
so-called "silver blaze problem". We find an abrupt transition when
$\mu=\sqrt{s_0}/2$, with $s_0$ representing the hadronic continuum threshold.
Exploring beyond this critical chemical potential we found similarities with
low-energy effective meson models at high chemical potential.
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| Authors | Alfredo Raya; Cristian Villavicencio |
| Journal | arXiv |
| Year | 2024 |
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