https://doi.org/10.1140/epjc/s10052-025-14421-5
Regular Article - Theoretical Physics
Finite-energy sum rules at finite chemical potential and zero temperature
1
Instituto de Física y Matemáticas, Universidad Michoacana de San Nicolás de Hidalgo, 58040, Morelia, Michoacán, México
2
Facultad de Ingeniería Eléctrica, Universidad Michoacana de San Nicolás de Hidalgo, 58040, Morelia, Michoacán, México
3
Centro de Ciencias Exactas, Universidad del Bío-Bío, Casilla 447, Chillán, Chile
4
Departamento de Ciencias Básicas, Universidad del Bío-Bío, Casilla 447, Chillán, Chile
Received:
30
January
2025
Accepted:
10
June
2025
Published online:
29
June
2025
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 
, with 
representing the hadronic continuum threshold. Exploring beyond this critical chemical potential we found similarities with low-energy effective meson models at high chemical potential.
© The Author(s) 2025
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Funded by SCOAP3.
