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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2312.13952 |
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| _version_ | 1866916181483454464 |
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| author | Fraga, Eduardo S. Palhares, Letícia F. Restrepo, Tulio E. |
| author_facet | Fraga, Eduardo S. Palhares, Letícia F. Restrepo, Tulio E. |
| contents | We compute the pressure from first principles within perturbative QCD at finite baryon density and very high magnetic fields up to two-loops and with physical quark masses. The region of validity for our framework is given by $m_s \ll μ_q \ll \sqrt{eB}$, where $m_s$ is the strange quark mass, $μ_q$ is the quark chemical potential, $e$ is the fundamental electric charge, and $B$ is the magnetic field strength. We include the effects of the renormalization scale in the running coupling, $α_s (μ_q,\sqrt{eB})$, and running strange quark mass. We also discuss the simplifications that come about in the chiral limit. The effectively negligible contribution of the exchange diagram allows for building a simple analytic model for the equation of state for pure quark magnetars and computing their mass and radius at very large values of $B$. These results provide constraints on the behavior of the maximum mass and associated radius from perturbative QCD. We also discuss the magnetic bag model for extreme magnetic fields. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_13952 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Cold and dense perturbative QCD in a very strong magnetic background Fraga, Eduardo S. Palhares, Letícia F. Restrepo, Tulio E. High Energy Physics - Phenomenology We compute the pressure from first principles within perturbative QCD at finite baryon density and very high magnetic fields up to two-loops and with physical quark masses. The region of validity for our framework is given by $m_s \ll μ_q \ll \sqrt{eB}$, where $m_s$ is the strange quark mass, $μ_q$ is the quark chemical potential, $e$ is the fundamental electric charge, and $B$ is the magnetic field strength. We include the effects of the renormalization scale in the running coupling, $α_s (μ_q,\sqrt{eB})$, and running strange quark mass. We also discuss the simplifications that come about in the chiral limit. The effectively negligible contribution of the exchange diagram allows for building a simple analytic model for the equation of state for pure quark magnetars and computing their mass and radius at very large values of $B$. These results provide constraints on the behavior of the maximum mass and associated radius from perturbative QCD. We also discuss the magnetic bag model for extreme magnetic fields. |
| title | Cold and dense perturbative QCD in a very strong magnetic background |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2312.13952 |