Anisotropic Pressures in Very Dense Magnetized Matter

TL;DR

This paper investigates how external magnetic fields induce anisotropic pressures in dense quantum matter, analyzing the effects on energy conservation, boundary conditions, and specific systems like electron-positron pairs, neutrons, and strange quark matter.

Contribution

It provides a detailed analysis of anisotropic pressures in magnetized quantum systems, including the vanishing transverse pressure in electron-positron systems and implications for neutron and strange quark matter.

Findings

Transverse pressure vanishes in electron-positron Landau ground state

Anisotropic pressures depend on magnetic field and system properties

Thermodynamical relations in external fields are established

Abstract

The problem of anisotropic pressures arising as a consequence of the spatial symmetry breaking introduced by an external magnetic field in quantum systems is discussed. The role of the conservation of energy and momentum of external fields as well as of systems providing boundary conditions in quantum statistics is considered. The vanishing of the average transverse momentum for an electron-positron system in its Landau ground state is shown, which means the vanishing of its transverse pressure. The situation for neutron case and Strange Quark Matter (SQM) in $\beta$-equilibrium is also briefly discussed. Thermodynamical relations in external fields as well as the form of the stress tensor in a quantum relativistic medium are also discussed. The ferromagnetic symmetry breaking is briefly discussed.