Paramagnetism, zero modes and mass singularities in QED in $1+1$, $2+1$ and $3+1$ dimensions

Abstract

The interplay of paramagnetism, zero modes of the Dirac operator and fermionic mass singularities on the fermionic determinants in quantum electrodynamics in two, three and four dimensions is discussed.

13 pages, uses latex2e+amstex

References in corpus (3)

• QED in inhomogeneous magnetic fields
• Fermion Determinants in Static, Inhomogeneous Magnetic Fields
• QED in strong, finite-flux magnetic fields

Cited by in corpus (10)

• Zero modes of the Dirac operator in three dimensions
• Multiple zero modes of the Dirac operator in three dimensions
• Degeneracy of zero modes of the Dirac operator in three dimensions
• Zero modes in finite range magnetic fields
• Evidence for mass zeros of the fermionic determinant in four-dimensional quantum electrodynamics
• Mass zeros in the one-loop effective actions of QED in 1+1 and 3+1 dimensions
• Chiral limit of the two-dimensional fermionic determinant in a general magnetic field
• Chern-Simons action for zero-mode supporting gauge fields in three dimensions
• The symmetries of the Dirac--Pauli equation in two and three dimensions
• Fermion Determinants: Some Recent Analytic Results