Cold and dense perturbative QCD in a very strong magnetic background
| Autor: | Fraga, Eduardo S., Palhares, Letícia F., Restrepo, Tulio E. |
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| Rok vydání: | 2023 |
| Předmět: | |
| Zdroj: | Eduardo S. Fraga, Let\'icia F. Palhares, and Tulio E. Restrepo, Phys.Rev.D 109 (2024) 5, 054033 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1103/PhysRevD.109.054033 |
| Popis: | 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 $m_s \ll \mu_q \ll \sqrt{eB}$, where $m_s$ is the strange quark mass, $\mu_q$ 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, $\alpha_s (\mu_q,\sqrt{eB})$, 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. Comment: 14 pages, 8 figures |
| Databáze: | arXiv |
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