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math-ph2026
Recent Advances on a Model for the Electromagnetic Dirac Field at Thermal Equilibrium
Umberto Morellini
We review recent progress on a model for the relativistic electron-positron field interacting with a classical electromagnetic field at positive temperature. The ultimate goal is t…
math-ph2024
Global well-posedness in a Hartree-Fock model for graphene
William Borrelli, Umberto Morellini
Graphene is a monolayer graphitic film in which electrons behave like two-dimensional Dirac fermions without mass. Its study has attracted a wide interest in the domain of condense…
math-ph2024
The Pauli-Villars regularised free energy of Dirac's vacuum in purely magnetic fields
Umberto Morellini
The Dirac vacuum is a non-linear polarisable medium rather than an empty space. This non-linear behaviour starts to be significant for extremely large electromagnetic fields such a…