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**ABSTRACT:**I briefly review some aspects of the effect of magnetic fields in the high density regime relevant to neutron stars, focusing mainly on compact star structure and composition, superconductivity, combustion processes, and gamma ray bursts. Comment: Invited review, conference "Magnetic Fields in the Universe: from Laboratory and Stars to Primordial Structures", Angra dos Reis, Brazil, Nov 28 - Dec 3, 2004, eds. E. M. de Gouveia dal Pino, G. Lugones & A. Lazarian, to be published in the AIP COnference Proceedings. 10 pages, no figures04/2005; - [show abstract] [hide abstract]

**ABSTRACT:**Using the nonperturbative Schwinger-Dyson equation, we show that chiral symmetry is dynamically broken in QED at weak couplings when an external magnetic field is present, and that chiral symmetry is restored at temperatures above $T_c \simeq \alpha\pi^2/\sqrt{2 \pi |eH|}$, where $\alpha$ is the fine structure constant and $H$ is the magnetic field strength.Physical Review D 03/1997; · 4.69 Impact Factor - [show abstract] [hide abstract]

**ABSTRACT:**The influence of a high magnetic field (B is greater than 10 exp 12 G) on the degenerate matter equation of state appropriate to a neutron star is studied. The regime dominated by relativistic electrons up to the neutron drip density is highlighted. The equilibrium matter composition and equation of state, allowing for inverse beta-decay. Two different equilibrium models are determined: an ideal neutron-proton-electron (npe) gas and the more realistic model of Baym, Pethick, and Sutherland (1971) consisting of a Coulomb lattice of heavy nuclei embedded in an electron gas. For a sufficiently high field strength, the magnetic field has an appreciable effect, changing the adiabatic index of the matter and the nuclear transition densities. The influence of a strong field on some simple nonequilibrium processes, including beta-decay and inverse beta-decay (electron capture) is also considered. The effects produced by the magnetic field are mainly due to the changes in the transverse electron quantum orbits and the allowed electron phase space induced by the field.The Astrophysical Journal 01/1992; · 6.73 Impact Factor

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