Finite-energy sum rules at finite chemical potential and zero temperature
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...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-06-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-025-14421-5 |
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| author | Alfredo Raya Cristian Villavicencio |
| author_facet | Alfredo Raya Cristian Villavicencio |
| author_sort | Alfredo Raya |
| collection | DOAJ |
| description | 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 $$\mu =\sqrt{s_0}/2$$ μ = s 0 / 2 , with $$s_0$$ 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. |
| format | Article |
| id | doaj-art-aea5df466d55480ab3c86bedd26ed3e1 |
| institution | OA Journals |
| issn | 1434-6052 |
| language | English |
| publishDate | 2025-06-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj-art-aea5df466d55480ab3c86bedd26ed3e12025-08-20T02:38:14ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522025-06-0185611410.1140/epjc/s10052-025-14421-5Finite-energy sum rules at finite chemical potential and zero temperatureAlfredo Raya0Cristian Villavicencio1Instituto de Física y Matemáticas, Universidad Michoacana de San Nicolás de HidalgoCentro de Ciencias Exactas, Universidad del Bío-BíoAbstract 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 $$\mu =\sqrt{s_0}/2$$ μ = s 0 / 2 , with $$s_0$$ 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.https://doi.org/10.1140/epjc/s10052-025-14421-5 |
| spellingShingle | Alfredo Raya Cristian Villavicencio Finite-energy sum rules at finite chemical potential and zero temperature European Physical Journal C: Particles and Fields |
| title | Finite-energy sum rules at finite chemical potential and zero temperature |
| title_full | Finite-energy sum rules at finite chemical potential and zero temperature |
| title_fullStr | Finite-energy sum rules at finite chemical potential and zero temperature |
| title_full_unstemmed | Finite-energy sum rules at finite chemical potential and zero temperature |
| title_short | Finite-energy sum rules at finite chemical potential and zero temperature |
| title_sort | finite energy sum rules at finite chemical potential and zero temperature |
| url | https://doi.org/10.1140/epjc/s10052-025-14421-5 |
| work_keys_str_mv | AT alfredoraya finiteenergysumrulesatfinitechemicalpotentialandzerotemperature AT cristianvillavicencio finiteenergysumrulesatfinitechemicalpotentialandzerotemperature |