3 papers
math-ph2025
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…
quant-ph2025
Vacuum polarization in a one-dimensional effective quantum-electrodynamics model
Timothée Audinet, Umberto Morellini, Antoine Levitt +1
With the aim of progressing toward a practical implementation of an effective quantum-electrodynamics (QED) theory of atoms and molecules, which includes the effects of vacuum pola…
math-ph2025
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…