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math.SP2026
On two-dimensional Dirac operators with critical delta-shell interactions
William Borrelli, Pietro Carimati, Davide Fermi
We study two-dimensional Dirac operators with singular interactions of electrostatic and Lorentzscalar type, supported either on a straight line or a circle. For certain critical v…
math-ph2026
The Pauli-Villars-regularized Dirac vacuum in electromagnetic fields at positive temperature
William Borrelli, Umberto Morellini
In this paper we consider a model of the Dirac vacuum in classical electromagnetic fields at positive temperature. We adopt the Pauli-Villars regularisation technique in order to p…