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| Auteurs principaux: | , |
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| Format: | Preprint |
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2024
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| Accès en ligne: | https://arxiv.org/abs/2402.14137 |
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| _version_ | 1866918078491656192 |
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| author | Raya, Alfredo Villavicencio, Cristian |
| author_facet | Raya, Alfredo Villavicencio, Cristian |
| contents | 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 $μ=\sqrt{s_0}/2$, 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_14137 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Finite-energy sum rules at finite chemical potential and zero temperature Raya, Alfredo Villavicencio, Cristian High Energy Physics - Phenomenology Nuclear Theory 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 $μ=\sqrt{s_0}/2$, 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. |
| title | Finite-energy sum rules at finite chemical potential and zero temperature |
| topic | High Energy Physics - Phenomenology Nuclear Theory |
| url | https://arxiv.org/abs/2402.14137 |